When Jack is handcuffed to the pipe below decks, the elbow joint is a modern welded joint, not a bolted flange joint as in the rest of the ship. I'm sure this was done to allow Jack to move about with greater ease as the water level rose.

In the scene where we see Iron Man soldering underwater, the sound of his breathing is that of an open circuit breathing system, which should be releasing bubbles into the water, but none are visible (a rebreather wouldn't release bubbles, but sounds very different).

In the scene where Katniss is in her suite and has the remote in her hand, she gets up and moves to the wall. The shot is of her back and her hands have no remote in them. Yet in the next shot, she has turned off the scenery with the remote.

In the first close-up shot when the Prince's aide is complaining about the salmon-pink clothes the Queen has given him to wear, his collar is buttoned closed. In the next close-up shot it is open with silver hook and eyes visible. In the third close-up shot it is buttoned closed again.

When Oz is talking to Mia outside near the start, she puts her hands on her shoulders when she says "that's so cute!" In the next shot they're lowered, and she puts them on his shoulders again.

The USS Missouri is a 68-year-old museum ship. Only a few museum ships are still able to sail under their own power. The USS Missouri, however, is not one of them, and could never have left port. There is no fuel on board, corrosion has done serious damage to the rotor blades and controls, and if one was to try and refire the boilers, they would surely explode. Also, there is no ammunition on board, plus all controls have been stripped, and all tubes and barrels blocked to prevent dirt from damaging them. Therefore, it cannot ever fire a shot again. Though it was renovated in 2010, it was mostly to prevent it from rusting away and sinking.

During the sandstorm, when Ethan is run over by the car, its left side mirror breaks, but appears fixed in the brief opposite angle.

The nuns (including Mother Superior, Sister Mary-Mengele and Sister Rosemary) don't age despite the fact during the course of the movie about 25+ years pass.

The phone handsets in every shot are Cisco 7940 which are VoIP handsets. This technology was not available in 2002.

At the end of the movie when the girl and guy are boarding the submarine, the camera switches to a view where you can see an apartment complex in the background. If you look towards the top you can see someone standing at the balcony and then they move off towards the balcony door. In the next shot the person is gone.