Deliberate mistake: The Messerschmitts have painted yellow fronts, this wasn't done by the Germans until after Dunkirk. Christopher Nolan has admitted doing this deliberately so the audience could tell the difference between the Spitfire and the Messerschmitt during the combat scenes.
Other mistake: Throughout the film Mason goes through all sorts of shenanigans - explosions, fire fights, falling off a cliff, almost drowning, this woman really goes through the wringer. It's a bit surprising then, that at the very end of the film when the good guys finally come to the rescue that she looks like she has just finished posing for a shampoo commercial with not a hair out of place.
Character mistake: Jim Sturgess uses a sentence that contains the word 'me'. He is corrected, being told that the word 'I' would have been correct. However, he was grammatically correct in his use of the word 'me'. The correction was in error.
Visible crew/equipment: The scene where Spencer throws the boomerang for the first time and misses the bikers they take off running. While they are running from the bikers, there is a shot right before the boomerang hits the bikers where you can see a camera man sitting in the bushes on the left side. You don't have to pause it, but can to see it better. (00:36:30)
Factual error: When the bus is shown entering Washington, DC for the competition, the shot shows the bus traveling over the Arlington Memorial Bridge with the Lincoln Memorial in the background. That bridge is on the southwest side of the city. Since NYC is to the northeast of DC, this means that to get to that bridge and enter DC that way, the bus had to drive all the way around the city and then come back in from the opposite direction. Even if the bus driver made a mistake and missed the most direct route into the city from the north, there are dozens of other ways to get to the heart of the city without adding a good 45 minutes to an hour to the trip.
Factual error: Barry Seal is taken with the guys of the drug-kartel in a yellow helicopter. There is an internet address on the side of the helicopter, half covered by the door, entirely inappropriate for the timeframe of the early 80's. (00:17:20)
Continuity mistake: When Karl Urban is defending the Asgardians, the dust covers on his rifles vary between being open and closed several times. M16 dust covers are sprung loaded - they open on the first shot and have to be manually closed afterwards.
Continuity mistake: In the opening scenes where he gets his mustang back, he hits the guy who comes over the roof and busts the windshield, but in the very next shot the windshield is pristine. (00:07:45)
Other mistake: Near the start of the movie Jon indicates that he has titanium in his right arm, but towards the end of the movie the bullet ricochets off his left arm. (00:08:55 - 01:34:45)
Factual error: It is roughly 120-135 dB inside of a C-130, especially one that hasn't been specifically modified. It is so loud that it is painful to be in the cargo hold without hearing protection (besides it being outside of military regulations) and you certainly couldn't have a normal conversation while it was in flight.
Revealing mistake: On the ice the tank is firing - in slow motion we see empty shells are littering the area. The shells have crimped ends, revealing them to be blanks.
Factual error: Dutch police cars don't look like they do in the movie, with their blue and white checkerboard pattern. They had blue and orange diagonal stripes on the side. In this movie, they look much closer to what British police cars look like.
Continuity mistake: When Finn is going to an escape pod to run away, he puts his pack down in front of it, seen again in a later shot. When Rose realises he's trying to run away, his pack has moved itself inside the pod.
Continuity mistake: When Sammy first offers the drink to Diana (in a close up), Diana takes the mug in her left hand. Just before the camera switches to a long shot, Diana switches the mug to her right hand. In the long shot, Diana still has the mug in her left hand and she sets it on the wall to her left. The camera switches back to a close up and Diana again has the mug in her right hand. When Steve asks her to dance, Diana again sets the mug down on the wall, this time to her right.
Audio problem: Anthony Hopkins is in his car with Cogman, discussing Pangea the super continent over the phone with John Turturro. There are two instances in this scene in which Anthony Hopkins' voice has been dubbed over by a different actor that does not sound like him. Anthony Hopkins first says "That's Pangea. The super continent." The scene then flashes back to the round table and the dubbed voice attempting to sound like Hopkins says "It's the same shape on the round table." The dubbed voice is heard again when he says "Genius", before reverting back to Anthony Hopkins immediately after when he says "Stonehenge."
Factual error: In the first frontal shot of Percival's Porsche following Lorraine, virtually every car parked at the side of the road is from after 1989, one of them not even being on sale until 2007. (00:16:10)
Continuity mistake: When the moms are making gingerbread houses the candies on the houses change with each shot.
Factual error: The action takes place around the second half of June (either side of the Glastonbury festival weekend). At the beginning of the film leaving work early evening in time to get home for dinner, in the UK, it wouldn't be dark. Later on, there isn't that much snow in the Alps, especially below the tree line, at that time of year.
Factual error: The Saint steals gold. One gold bar in this movie measures 30cm x10cm at the base and 7 cm high with a 10 degree draft angle. That means about 2.1 liter size and weight of 40 kg for one gold bar. The Saint moves bars with one hand from the briefcase to the backpack, can run and hit etc. The backpack would weigh 240kg and somehow a man runs off with it one one hand. (00:07:00 - 00:11:50)