Continuity mistake: In the scene where Tom Green's character is giving the Angels a ride in the boat, look behind the boat and you will see that the "frothy" ocean water churned up by the propellers only goes back a very short distance. The boat was obviously sitting in one place (drifting, actually) for a period of time and only started moving immediately before they started filming. (01:04:05)
Continuity mistake: When they are driving in the Ferrari 360, if you look at the lanes, they are driving on the correct and oncoming lanes.
Other mistake: When Knox shoots at Dylan/the glass, if you look closely, you can see the first shot hits the glass just past the left side of her head (on the viewer's right) but when they slow mo it down, suddenly the bullet is on the left side and shoots the glass just above her right shoulder as she propels herself back.
Continuity mistake: When Bosley is in the dungeon towards the end of the movie he is seen ripping his sheet to shreds trying to make a rope. If you look in the window where he throws his rope there is light coming in from outside - not necessarily daylight, but a floodlight or similar. From outside though, the wall is pitch black, with no light coming from the room either. (01:01:10)
Continuity mistake: In the car chase scene, when the red Ford Taurus flies into the air and flips, in one shot its a 96-97 model, in another shot it becomes a 98-99 model (grille is different).
Other mistake: At the beginning of the movie the bomb is revealed to have 58 seconds left, but actually explodes after about 68 seconds. (00:02:40 - 00:03:50)