Revealing mistake: Mirrors were used to make the corridors appear longer, early in the film when Brett is complaining to Parker about the way they are treated by the company you can see their reflections in the mirror behind them as they walk down the corridor. It's only for a second as they are moving off camera but you can see them in their white overalls.
Revealing mistake: When the Enterprise is leaving its docking station and pulling out, two little bugs or debris from the model lands on the camera lens on the lower left corner (corrected in the Director's Edition).
Revealing mistake: You can see the stick making the finger move when it's in the box. (00:38:20)
Revealing mistake: When the motorcycles are chasing the guy and his girl in the red car, one of the motorcycle riders attacks the car with a machete. He first hits the side of the car, and then goes to hit the windshield. Notice the windshield is already cracked prior to the machete making contact.
Revealing mistake: During the laser battle inside the space station, one of the villains on one of the upper circular tiers makes a move as though to signify he was hit with a laser a second or two before the laser actually hits him.
Revealing mistake: When Dan Holland, Kate, V.I.N.CENT and old Bob battle Reinhard's robot sentries on the catwalk, part of the bridge the sentries stand on is critically damaged and collapses. In that shot, the sentries are model figurines.
Revealing mistake: When the meteor is about to strike downtown Manhattan, the bay area image is a blatant photograph, with the boats and ripples completely still for several seconds. (01:19:49)
Revealing mistake: Episode: Testimony of a Traitor (season 2): As the 'video' of Buck's former advocate/cohort begins, we see a disheveled man in uniform seated behind a desk in his bombed out office. The TV on his desk is an obvious late-70's model, and his video player is a vintage 1978 model. This show is supposed to be about the 25th Century, and the Treason video, based in 1987 - and Buck was an Air force commander - so you'd think this government officer friend would have more futuristic-looking technology in his office. (00:08:25 - 00:12:45)