Continuity mistake: In the scene where Tommy and Wesley fall into the grain hold in the ship, the bulk grains flow into a container, in this case the ship's 'hold' and their surface is perfectly smooth from top to bottom. Watch for the incredible number of 'dents' in the smooth surface ('footprints' from previous takes) when the shot changes to Wesley and Tommy fighting, after the flow of grain is turned off. (They've been fighting from the top of the pile down, it occupies roughly the bottom 50% of the screen.)
Continuity mistake: In the scene at the cemetery, Snipe's girlfriend arrives in a 1995-1997 model black Lincoln Town Car. When they begin to escape the cemetery & the back window is shot out, that car is a 1990-1994 model Lincoln Town Car. As the car speeds through the cemetery it returns to a 1995-1997 model. When it then crashes with the Suburban at the cemetery entrance it has once again turned into a 1990-1994 model.
Continuity mistake: In the scene where Robert Downey, Jr. is accosting Wesley Snipes, in the hospital, Rob rips the EKG leads off of Wes' chest and the monitor goes to asystole (the flatline tone). Then after Tommy Lee Jones dispatches Rob and turns to talk to Wes, you can hear a normal sinus rhythm on the monitor.
Continuity mistake: In the scene where Wesley Snipes jumps off the building on to the moving train. When he is sitting on top of the train, an aeroplane in visible in the background. The shot changes to show Tommy Lee Jones looking annoyed and then changes back to Wesley Snipes. The plane is away and not enough time has passed for the plane to have flown away.
Other mistake: When Wesley Snipes is being questioned about the double homicide in New York, the detective says that it occurred in December. When Tommy Lee Jones is viewing the tape of the double homicide from the UN garage security cameras, the date from the video tape clearly says "12 Jan".
Continuity mistake: When Wesley Snipes makes the truck rush the roadblock, one of the deputies is not in the patrol car. That car is pushed quite a distance, before it rolls down an embankment on the far side of the bridge, but somehow the deputy not in the car manages to reach his partner in the car nearly straight away and help him out. He must be some runner to be able to get that distance so fast.
Audio problem: In the scene when the plane slides down the hill into the water you hear the classic Hollywood sound used for jumbo jet engines dying out by hitting water. The problem lies in the fact that that engine would have been off by then, either by impact, or by the planes automated systems. Even if it was somehow still running you don't hear it until it dies.
Continuity mistake: The morning after the plane crash Tommy Lee Jones is sitting on porch of the restaurant while his crew drives up, his pants are rolled up to his knees and he has no shoes on. He then walks inside and buys a T-shirt because he has no clothes. When they hear the FBI Helicopter and all walk back outside Tommy Lee Jones has new pants and shoes on.
Plot hole: After the police arrest Roberts he's flagged for a federal warrant, but Lamb and Barrows don't show up to inquire about him until long after the plane crash. Shouldn't they have been there to pick Roberts up at the police station instead of being sent immediately to a federal penitentiary?
Audio problem: When Noah and the rest of the gang are chasing the Chinese man, Noah is the only one on foot. He sees the Chinese man get in a cab and calls for backup. The rest of the gang arrives seconds later. As Noah gets into the SUV, the sound of the car door closing can be heard before it actually does close (and it never really does in that scene).