Plot hole: After the kidnappers kill the trooper and then one chases after the 2 eyewitnesses you can see that they are on a straight road (no turns and he catches up to them fairly quickly) but the next morning when Marge arrives on the scene of the 2 bodies she arrives from the direction of the trooper's body (the first shooting). After examining the bodies of the eyewitnesses she asks her deputy "where the trooper is" and the Deputy points in the direction she just came from and states "down the road a bit" how did she miss it? She would have had to have driven right past the trooper's crime scene to get to the 2 bodies.
Continuity mistake: When they are in the Whitehouse, and Beavis has turned into Cornholio, he picks up the "Red" hotline phone on the President's desk, and is talking to the nuclear bomb officials. Later, when they are in the President's office again, getting their certificates, there is now a black phone on the desk, where the red one was. (01:03:05 - 01:11:00)
Deliberate mistake: In the towel-dance scene after Demi has put on her white panties and spins off the towel from her hair she starts to rip off her body towel. Then in the next frame the towel is again tucked in. Apparently they didn't want Demi topless when she leaned over to slip on her blue shorts.
Continuity mistake: Towards the end, Danny Aiello fires at James Spader, and we see a brief close-up of the door frame being hit - there are two bullet holes seen in the door - one above and just to the left of the other. Then we cut away, and when we cut back and see James Spader looking around the door frame, there's just one bullet hole.
Continuity mistake: When we first see Daniel in the taxi and the guy jumps in the back, when Daniel removes the steering wheel from the car the armrest has all four electric window switches present but when he changes the wheel whilst driving with Emilien in the back for the first time, the armrest only has one switch meaning a right hand drive modified car was used in motion shots. Hard to spot but its there.
Continuity mistake: In the final battle scene between Geena Davis and Craig Beirko, Beirko's character slashes Davis' character across the stomach (upper right hand side). In the next shot, the wound is located on the lower left side and in a subsequent shot, the wound has multiplied to become two wounds: one in the upper right hand side and a second in the lower left hand side.