The film is based on the real-life experiences of Dave Fishwick. It follows the story of a Burnley self-made millionaire who struggles to set up a community bank to help the town's local businesses to thrive. To do so, he must battle London's elite financial institutions and compete for the first banking licence in more than 150 years.

The young revolutionary and anti-apartheid activist Nelson Mandela is arrested, and it is the task of censor and prison guard James Gregory to watch him. He has long since moved to South Africa with the family for his work in the prison of Robben Island, and slowly he clashes with the politics and racist culture of his countrymen.

In 1939, Suffolk landowner Edith Pretty hires local self-taught archaeologist Basil Brown to tackle the large burial mounds at her rural estate in Sutton Hoo near Woodbridge. At first, she offers the same money he received from the Ipswich Museum, the agricultural wage, but he says it is inadequate; so she increases her offer by 12% to £2 a week which he accepts. His former employers fail to persuade Brown to work on a Roman villa they deem more important. They ignore Brown, who left school aged 12, when he suggests the mounds could be Anglo-Saxon rather than the more common Viking era. Working with assistants from Pretty's estate, Brown slowly excavates the more promising of the mounds. One day the trench collapses on him, but they dig him out in time. He spends more time with Edith, a widow, and her young son Robert, finding common interest in archaeology and astronomy with them. Brown's wife, May, supports his jobs as excavator despite the poor pay. Edith struggles with her health, warned by her doctor to avoid stress. Brown is astonished to uncover iron rivets from a ship, suggesting that it is the burial site of someone of tremendous distinction, such as a king. Prominent local archaeologist James Reid Moir attempts to join the dig but is rebuffed; Edith instead hires her cousin Rory Lomax to join the project. News of the discovery soon spreads, and Cambridge archaeologist Charles Phillips arrives, declares the site to be of national importance, and takes over the dig by order of the Office of Works. As the Second World War approaches, Phillips brings in a large team, including Stuart Piggott, and his wife Peggy Piggott who uncovers proof that it is Anglo-Saxon in origin. Brown is demoted to only keep the site in order but Edith intervenes and he resumes digging. Brown discovers a Merovingian Tremissis, a small gold coin of Late Antiquity and Phillips declares the site to be of major historical significance. Phillips wants to send all the artefacts to the British Museum but Edith, concerned about air raids in London, asserts her rights. An inquest finding confirms that she is the owner of the ship and its priceless treasure trove of grave goods but she despairs as her health continues to decline. Peggy, neglected by her husband Stuart, is attracted to Rory, but he is soon called up by the Royal Air Force; Peggy ends her marriage and sleeps with Rory before he leaves. Edith decides to donate the Sutton Hoo treasure to the British Museum, requesting that Brown be given recognition for his work. The film ends with Brown and his co-workers replacing earth over the ship to preserve it. As the end credits begin, text explains the fate of Edith and the recovered objects. The treasure was hidden in the London Underground during the war and first exhibited — without any mention of Basil Brown — nine years after Edith's death. Only much later was Brown given full credit for his contribution and his name is now displayed permanently alongside Pretty's at the British Museum.

In 1972, Karen Silkwood, a worker at the Kerr-McGee Cimarron Fuel Fabrication Site (near Crescent, Oklahoma), shares a ramshackle house with two co-workers, her boyfriend Drew Stephens and her lesbian friend Dolly Pelliker. She makes MOX fuel rods for nuclear reactors, where she deals with the threat of exposure to radiation. She has become a union activist, concerned that corporate practices may adversely affect the health of workers. She is also engaged in a conflict with her former common-law husband in an effort to have more time with their three children. Because the plant has ostensibly fallen behind on a major contract – fabricating MOX fuel rods for a breeder reactor at the Hanford Site in Washington state – employees are required to work long hours and weekends of overtime. She believes that managers are falsifying safety reports and cutting corners wherever possible, risking the welfare of the personnel. Karen approaches the union with her concerns and becomes active in lobbying for safeguards. She travels to Washington, D.C. to testify before the Atomic Energy Commission. When Silkwood and other workers become contaminated by radiation, plant officials try to blame her for the incident. When she sees weld sample radiographies of fuel rods being retouched to hide shoddy work, and that records of inadequate safety measures had been altered, she decides to investigate further herself. Complications arise in her personal life when Angela, a funeral parlour beautician, joins the household as Dolly's lover. Unable to deal with Silkwood's obsession with gathering evidence, and suspecting her of infidelities, Drew moves out. On November 13, 1974, once she feels she has gathered sufficient documentation, Silkwood contacts a journalist from The New York Times and arranges a nighttime meeting. She first attends a union meeting, carrying documentation of her findings on her way to meet with the journalist. En route, she sees approaching headlights in her rear-view mirror, which draw so close that they distract and blind her, preventing her from seeing the road ahead, leading to her fatal one-car crash. No documents are found in the wreckage of her car.

In AD 391, Alexandria is part of the Roman Empire, and Greek philosopher Hypatia is a teacher at the Platonic school, where future leaders are educated. Hypatia is the daughter of Theon, the director of the Musaeum of Alexandria. Hypatia, her father's slave, Davus, and two of her pupils, Orestes and Synesius, are immersed in the changing political and social landscape. Orestes tries to woo Hypatia with music, but she rejects Orestes's love by showing him her menstrual rags, because she prefers to devote herself to science. Davus assists Hypatia in her classes and is interested in science. He is also secretly in love with her. Meanwhile, social unrest begins challenging the Roman rule of the city as Pagans and Christians come into conflict. When the Christians start verbally insulting the statues of the pagan gods, the pagans, including Orestes and Theon, ambush the Christians. However, in the ensuing battle, the pagans unexpectedly find themselves outnumbered by a large Christian mob. Theon is gravely injured, and Hypatia and the pagans take refuge in the Library of the Serapeum. The Christian siege of the library ends when an envoy of the Roman Emperor Theodosius I declares that the pagans are pardoned, but the Christians shall be allowed to take possession of the library. Hypatia and the pagans flee while trying to save the most important scrolls before the Christians overtake the library and destroy its contents. Davus chooses to join the Christian forces. He later returns with a gladius and sexually assaults Hypatia, but he begins to sob and offers his sword to her. However, she removes his slave collar and tells him that he is free. Several years later, Orestes, now converted to Christianity, is prefect (Roman state official serving as governor) of Egypt. Hypatia continues to investigate the motions of the Sun, the Moon, the five known "wanderers" (planets), and the stars. Some Christians ridicule the thinking that the Earth is a sphere by arguing that people far from the top would fall off the Earth. When they ask Davus what his opinion is, he avoids conflict by saying that only God knows these things. Hypatia also investigates the heliocentric model of the Solar System proposed by Aristarchus of Samos by having an object dropped from the mast of a moving ship, which demonstrates that a possible motion of the Earth would not affect the motion, relative to Earth, of a falling object on Earth. However, due to religious objections against heliocentrism, the Christians have now forbidden Hypatia to teach at the school. The Christians and the Jews come into violent conflict. The leader of the Christians, Cyril, views Hypatia as having too much influence over Orestes and stages a public ceremony intended to force Orestes to subjugate her. Hypatia's former pupil, Synesius, now the Bishop of Cyrene, comes to her rescue as a religious authority counterweight but says he cannot help her unless she accepts Christianity; she refuses. Hypatia theorizes that the Earth orbits around the Sun in an elliptical orbit, not a circular orbit, with the Sun at one of the foci. Cyril convinces a mob of Christians that Hypatia is a witch, and they vow to kill her. Davus tries to warn Hypatia, but she is captured. They strip Hypatia and are about to skin her alive until Davus persuades the mob otherwise, and they decide to stone her instead. When the mob goes outside to collect stones, Davus suffocates her to spare her the pain of being stoned and tells the mob that she fainted. Davus leaves as they begin to stone her.

During the Second World War, Eric Lomax is a British officer who is captured by the Japanese in Singapore and sent to a Japanese POW camp, where he is forced to work on the Thai- Burma Railway north of the Malay Peninsula. During his time in the camp as one of the Far East prisoners of war, Lomax is tortured by the Kempeitai (military secret police) for building a radio receiver from spare parts. The torture depicted includes beatings, food deprivation and waterboarding. Apparently, he had fallen under suspicion of being a spy, for supposedly using the British news broadcast receiver as a transmitter of military intelligence. In fact, however, his only intention had been to use the device as a morale booster for himself and his fellow prisoner-slaves. Lomax and his surviving comrades are finally rescued by the British Army. Thirty years later, Lomax is still suffering the psychological trauma of his wartime experiences, though strongly supported by his wife, Patricia, whom he had met on one of his many train excursions, a true railway enthusiast. His best friend and fellow ex-POW Finlay brings him evidence that one of their captors, an interpreter for the Japanese secret police Takashi Nagase, is now working as a tourist guide in the very camp where he interpreted for the Kempetai as they tortured British POWs. Before Lomax can act on this information, Finlay, unable to handle his memories of his experiences, commits suicide by hanging himself from a bridge. Lomax travels alone to Thailand and returns to the scene of his torture to confront Nagase “in an attempt to let go of a lifetime of bitterness and hate”. When he finally confronts his former captor, Lomax first questions him in the same way Nagase and his men had interrogated him years before. The situation builds up to the point where Lomax prepares to smash Nagase's arm, using a club and a clamp designed by the Japanese for that purpose and now used as war exhibits. Out of guilt, Nagase does not resist, but Lomax redirects the blow at the last moment. Lomax threatens to cut Nagase's throat and finally pushes him into a bamboo cage, of the kind in which Lomax and many other POWs had been placed as punishment. Nagase soon reveals that the Japanese (including himself) were brainwashed into thinking the war would be a victorious one for them, and that he never knew about the high casualties caused by the Imperial Japanese Army. Lomax finally frees Nagase, throws his knife into the nearby river and returns to Britain. After receiving a heartfelt letter from Nagase confessing his feelings of guilt, Lomax returns, with Patricia, to Thailand. He meets Nagase once again, and in an emotional scene the two accept each other's apologies and embrace. The epilogue relates that Nagase and Eric remained friends until Nagase's death in 2011 and Eric's one year later.

In 2005, David Packouz, a massage therapist living in Miami, Florida with his girlfriend Iz, spends his life savings on an unsuccessful venture to sell bedsheets to retirement homes. David runs into his old friend Efraim Diveroli, whose company, AEY Inc., sells arms to the US government for the war in Iraq. Efraim explains that all military equipment contracts up for bidding are posted on a public website, and he bids on small orders that, although ignored by larger contractors, are still worth millions of dollars. After Iz informs David she is pregnant, Efraim offers him a job at AEY. David accepts, but he lies to Iz, telling her they will be selling sheets to the military; when she later learns the truth, she tells him she understands what he is doing, but insists that he stop lying to her. Efraim gives David a crash course on arms dealing and introduces him to his silent partner, businessman Ralph Slutsky, who funds AEY’s deals under the false belief that the company only sells arms to protect Israel. David and Efraim land a contract to provide 5,000 Beretta pistols to the Iraqi police, but they have to circumvent an Italian embargo by sending the shipment to Baghdad through Jordan, where it is seized by customs. If they fail to deliver the pistols, AEY will be blacklisted from future contracts. They fly to Jordan, bribe local officials to release the shipment, and, with a smuggler, take it into Iraq themselves by truck. They are paid handsomely for driving it through the “ Triangle of Death ”. David again lies to Iz, telling her he was in Jordan the whole time. AEY expands its operations and David's daughter Ella is born, while Efraim grows more unstable and untrustworthy. The company has a chance at a contract to supply 100 million rounds of AK-47 ammunition to the Afghan military at a time when this ammunition is in short supply. At a convention, David and Efraim encounter arms dealer Henry Girard, who has sole access to massive stocks of unused Soviet-era weapons in Albania that the Albanians are required by NATO to liquidate. Barred from dealing directly with the US, Girard proposes to sell AEY the ammunition it needs. AEY wins the contract. Before David leaves for eight weeks in Albania to supervise the loading of the ammunition, Iz, who is fed up with David lying to her, leaves him to stay at her mother's with Ella. In Albania, David discovers the ammunition is Chinese -made and thus illegal under a US embargo, so Efraim has it repackaged to mask its origin. On learning Henry has charged them a 400% markup, Efraim decides, despite David’s protests, to cut Henry out of the deal. Henry retaliates by having David kidnapped, beaten, and threatened at gunpoint, leading David to return to Miami to confront Efraim. As David is about to leave, Enver, the Albanian handling the repackaging, tells him he has been paid nothing; David promises Enver to get his money wired to him from Miami. On returning to Miami, David quits AEY and demands compensation for his work on the Afghan deal, but Efraim refuses to pay him anything. David returns to working as a massage therapist and convinces Iz to move back in with him after telling her the truth about AEY. Three months later, Efraim, with Ralph serving as a mediator, offers David a paltry severance package; David tells Ralph what they have been doing, unaware that Ralph is wearing a listening device for the FBI. They have been denounced by Enver, who was never paid. David and Efraim are arrested. Efraim is sentenced to four years in prison, while David pleads guilty and is sentenced to seven months of house arrest. Some time later, Henry contacts David and apologizes for abducting him in Albania; he also thanks David for not mentioning him in his testimony and offers him a briefcase full of money he made from the Afghan deal.

In 1939, Austrian mountaineer Heinrich Harrer leaves behind his pregnant wife to join Peter Aufschnaiter in a team attempting to summit Nanga Parbat in India (now part of Pakistan). When World War II begins in 1939, they are arrested by the British authorities for being enemy aliens, and are imprisoned in a prisoner-of-war camp in Dehradun in the Himalayan foothills, in the present-day Indian state of Uttarakhand. Harrer's wife, Ingrid, who has given birth to a son he has not seen, sends him divorce papers from Austria, by then annexed by Nazi Germany. In 1944, Harrer and Aufschnaiter escape the prison and cross into Tibet. After being initially rejected by the isolated nation, they manage to travel in disguise to the Tibetan capital city of Lhasa. They become the house guests of Tibetan diplomat Kungo Tsarong. The Tibetan senior official Ngawang Jigme also extends friendship to the two foreigners with gifts of custom-made Western suits. Aufschnaiter falls in love with the tailor, Pema Lhaki, and marries her. Harrer opts to remain single, both to focus on his new job of surveying the land and to avoid experiencing another failed relationship; much to the disappointment and dismay of his friends. In 1945, Harrer plans to return to Austria upon hearing of the war's end; but his son Rolf sends him a cold letter in which he says that he is not his father. This stops him from leaving Tibet. Soon afterwards, Harrer is invited to the Potala Palace and becomes the 14th Dalai Lama 's tutor in world geography, science, and Western culture. They end up becoming friends. Meanwhile, political relations with the new Communist government of China sour as they make plans to take control of Tibet in replacement of the former central government, now defeated and retreated to Taiwan. Ngawang Jigme leads the Tibetan army at the border town of Chamdo to halt the advancing People's Liberation Army. However, he ends up surrendering and blows up the Tibetan ammunition dump after the one-sided Battle of Chamdo. During the treaty signing, Kungo Tsarong tells Harrer that if Jigme had not destroyed the weapons supply, the Tibetan guerrillas could have held the mountain passes for months or even years; long enough to appeal to other nations for help. He also states that, for Tibetans, capitulation is like a death sentence. As the Chinese occupy Tibet, Harrer condemns Jigme for betraying his country, declaring their friendship over. Out of disgust and contempt, he further humiliates the senior official by returning the jacket that Jigme gave him as a present, a grave insult in Tibetan culture; as well as by throwing him onto the ground before storming off. Harrer tries to convince the Dalai Lama to flee, but he refuses; not wanting to abandon his people in spite of the danger. However, he encourages Harrer to return to Austria and be a father to his son. After the enthronement ceremony, in which the Dalai Lama is formally enthroned as the spiritual and temporal leader of Tibet, Harrer bids his friends farewell and returns to Austria in 1951. Harrer's wife and her new husband almost do not recognize him for how different he is. Harrer's son, Rolf, bitterly refuses to meet him at first; but Harrer leaves a music box that the Dalai Lama gave him, and this piques the boy's interest. Years later, Harrer and Rolf (now a teenager) are seen mountain-climbing together, suggesting they have mended their relationship.