Continuity mistake: During the stop-over at Limassol a maintenance guy places a fully-zipped clothes bag full of, as we will see later see, weapons in a cabin wardrobe. Before the plane takes off a stewardess happens to see the bag, which is now zipped down half with a gun sticking out. The wardrobe is a different one too, since a large sign with seat directions, which was placed next to the wardrobe, isn't there anymore. (00:07:35)
Continuity mistake: In the shoot-out in the train a lady gets hit right into her left breast. In the next shot the bullet hole has shifted to the collarbone. (01:22:00)
Continuity mistake: When Jack is in the Albert Dock Road building hiding in a toilet, one of the hijackers shoots a fast round at the door, perforating it all over. You hear 11 shots but count 14 holes. This may be explained by the fact that they used two takes for the scene with different patterns of bullet holes. Then the door opens, Jack jumps out and shoots the bad guy, and all tiles on the wall behind the door are as good as new. (00:33:50)
Continuity mistake: Jack's wife and daughters run away from the plane holding each other's hands, while the hijackers shoot into the crowd. When they get hit in the back you see slow motions of all three individually, with no-one else in the rather wide shot, as if they hadn't been holding on to each other. (00:12:40)
Continuity mistake: In the shoot-out in the train Bernard hits the bad guy with the gas mask so that he is thrown back. In the next shot he hits the guy, who is upright again, a second time, now into his eye, and he is thrown back again. (01:22:05)
Continuity mistake: When Jack shows Kate the print-out of the Economist web page with the write-up on Mr. Tarnower, the articles in the adjacent column are completely different from what he had downloaded. (00:25:05)
Continuity mistake: When the plane prepares for take-off after the emergency stop-over at Limassol, Jack is sitting next to his wife, while his son and one of his daughters are sitting across the aisle. Then the plane gets hijacked, passengers are told to remain in their seats, and the negotiations start. When the camera cuts to the cabin again Jack's son is sitting with his mom, first on her lap, then in the seat next to her where his sister was sitting before. Too much of seat-swapping under the circumstances, with trigger-happy hijackers watching over them. (00:09:10)