Factual error: Whenever the fire extinguisher is activated for a jet engine, that engine becomes inoperable. In the movie, the co-pilot first activates the extinguisher for the left engine, and 30 seconds later, for the right engine. At that point, both engines should be shut down. However, the engines are still operating (and revving up) and Whitaker even asks Margaret to apply full power, which is also audible. (00:23:00)
Continuity mistake: As the hand creature busts the shackles off Boris' legs in Lunar Max, you can see the bottoms of his pants over his metal prison boots. There are only a few folds and wrinkles over his left foot, and the pants over right foot are hardly wrinkled at all, or affected as the creature climbs up his right leg. But only a couple of seconds later, we see another shot of Boris' feet as the creature breaks off the metal sleeve of his arm, and suddenly his pants legs are very wrinkled. Boris was standing perfectly still the entire time. Boris' legs are also suddenly closer together. (00:03:35)
Factual error: Before receiving the North American P-51D Mustangs, the Red Tail squadron was using the Curtiss P-40E Warhawk. The movie shows the Warhawks being able to keep up with the German Bf 109 G-6s quite easily, fighting on even terms. In reality, the Bf 109 G-6 could easily outperform the Warhawk, being able to easily outrun and out-turn the Warhawk. Still, the Bf 109s are no match for the Warhawks.
Factual error: After the Missouri knocks the shield down, the admiral orders all aircraft launched, but the flight deck is shown in sailing transport mode, not flight readiness. Would have taken an hour or more to clear the deck and launch.
Plot hole: Ted calls on John to tell him that he saw Lori leaving her apartment with her boss. How did he find him? He turns up not only at the right hotel but the right room! They have had no contact since their fight after the party and Ted hasn't been asking around after John as he tells him he 'just saw' Lori leaving with her boss. So how did he find John? Is he psychic?
Factual error: Dr Schultz pays with 12 $1000 bills, but $1000 bills were not created until 1861, after the time period of this movie.
Factual error: The idea that anyone survived living in Pripyat Hospital is absurd. The uniforms of the doomed firefighters were stored in the basement and are so radioactive that anyone straying downstairs for more than 45 seconds has about a week to live. The ground and upper floors are far less radioactive but prolonged exposure - in other words, living there - would be fatal. Nobody could survive on the grounds for more than two or three months without receiving a lethal dose of radioactivity. Incidentally, prolonged exposure to radioactivity doesn't turn you into a deranged zombie - it turns you into a corpse.
Other mistake: The video stream displayed in the night sky showing which tributes have died after the first day does not add up correctly. They display in district order. We see the start, the girl from three (so the boy is still alive), and the boy from four with no breaks. Then they break away to show Katniss and the control room, after which they continuously show the boy and girl from seven, the boy from eight (so the girl is still alive), the girl from nine (so the boy is still alive), and then fade to the end. We know that Foxface, the girl from five, dies later in the movie. Even if we assume that during the portion not shown, the girl from four, the boy from five, and both tributes from six are dead, that's only a total of ten. Thirteen are supposed to be dead at that point in the movie. (01:16:20)
Factual error: The type of surgery shown made by the machine transversely cuts the rectus abdominis muscles. Besides not being a standard surgical incision in order to "remove a foreign body" as stated, it seriously damages important muscles of the abdominal wall making any immediate active mobilization of the trunk virtually impossible, even under strong analgesia.
Factual error: It's mentioned that the British and New Zealanders turned the Americans away. This is untrue - the Americans stayed with both for a time until it was decided that they would be safer with the Canadians.
Other mistake: When Heather Hills takes a swing at Rodrick with mike stand and hits the chocolate fountain, how does Heather splash chocolate on herself?
Plot hole: During the scene where Merida gives her speech on "breaking tradition", her mother, as a bear, moves silently behind the majority of the crowd, so they don't see her. Fair enough. However, Merida and her father's clan are all looking in the same general direction (towards the crowd) while she's speaking - how does no one from Merida's clan see a bear moving at the back of the room?