Factual error: Near the end of the film Knox is flying a Huey helicopter and the Angels hitch a ride by shooting it with a spear gun and dangling on the line behind it. Suddenly adding about 200kgs to a Huey in flight like that is going to cause all sorts of problems with the trim and airspeed of the aircraft - the pilot would know immediately that something was wrong. (01:23:20)
Factual error: Amongst the essential parts of a nuclear weapon's detonation mechanism is a radioactive isotope of tritium, which has a half life of just 12 1/2 years. The tritium in every nuke on earth has to be replaced every ten years or so. This is by no means unusual; there are other perishable parts including detonators made of conventional explosives which would be completely inert after a thousand years. After lying dormant with no maintenance at all for that amount of time the nuclear weapons the 'Man-animals' find would be big shiny paperweights and not much else.
Continuity mistake: The tyres on the crotch rocket motorcycles they were riding kept changing from knobbly tyres to road slicks, back and forth depending on what terrain they were on. Easiest to see when Ethan skids on the road to avoid the white van - clear shot of slick tyres - then about 30 seconds later they're on the dirt, he skids into the old car and you can easily see that he's got off-road tyres front and back.
Plot hole: Why on earth would the military be interested in a soldier (sailor, aviator, whatever) who has to go into combat naked and unarmed, and who is detectable by an enemy equipped with a pair of cheap, mass-produced goggles? How would you treat them if they were injured? They would be utterly useless in any form of military operation, even espionage.
Revealing mistake: There are supposed to be two dead young Asian males sitting in the back of the car, but in this shot, it is so obvious that there are two dead 'dummies' riding in the back. Also, in the crash, a few seconds later, very blatant dummy heads are flying everywhere. (00:40:40)
Other mistake: Ginger is adamant that she will not approve any plan of escape that does not get all the chickens on the farm out and to freedom. The problem is, not one of her plans gets anywhere close, and it is not that they fail to liberate the whole farm - they are never planned that way. We see her trying to escape by herself three times. The mannequin of Mrs Tweedy would (had it worked) have allowed nine chickens to escape, the upturned feed tray just seven. Even the 'crate' appears to hold not more than thirty chickens - and there must be several hundred on the farm, at least.
Continuity mistake: When the real 'manager' comes outside to yell at "Mr. O'Donnell', you see the manager walk back into the club. If you look in the background of the next shot, you can see the manager walking through the door again. (00:13:25)
Revealing mistake: When the boys drive the car over the gap in the bridge, look at the side view that shows the main jump, watch the front wheels, they lift up in the air unnaturally before the car leaves the ramp. (00:34:00)
Character mistake: When Missy is at her audition, Courtney and Whitney get annoyed and tell her to do a sequence, (front handspring stepout, roundoff back handspring stepout, roundoff back handspring, full twisting layout). However, when Missy starts the sequence, she starts with a cartwheel instead of a front handspring.
Continuity mistake: Toward the end, Russell goes to talk to William at his house. He turns the chair around to sit on it backwards, and throws the shirt down onto the ground. When he sits down the shirt is back on the chair.
Revealing mistake: Gracie hugs the Russian waitress in order to have a better view of the disc hand-off appear on the monitor. As she raises her left hand that holds the book/camera lens, we see that the digital feed that appears on the monitor stays steady and level, even though she is raising the book/camera lens higher and closer to her face. Obviously the feed that we see on the monitor is not taken from the book/camera lens. (00:04:10)
Continuity mistake: When Craig is sitting on Elroy's couch, he lights a joint and puts the lighter on the table. It disappears in the next shot.
Continuity mistake: When the devil is falling apart and his 2nd ear falls off, he tells Nicky he cannot hear him, and asks the demon by his side who catches it to put it back on his head. But towards the end, when the devil is reduced to no more than a mouth and 2 arms, he is able to have a conversation with his demons about what's going on and hear them perfectly. (00:52:05 - 00:58:50)
Plot hole: Peter goes into Carl's mind to save Catherine. When he's in there he sees the tank with the water nymph. On the tank are strange symbols which provide the FBI with the clue needed to find the latest victim. Makes sense so far. But, go back to the scene just after the FBI have captured the comatose killer and are looking in his basement. The FBI are looking at the contraption that the killer uses to suspend himself over the victim. On the contraption is the same symbol seen later on the water nymph's tank. Why didn't the FBI follow up the symbol then?
Continuity mistake: William H. Macy makes dinner plans with the Mayor and writes "Dinner with the Mayor" on the dry erase board in his office. He writes "Dinner w/ the Mayor" in the "Tuesday" slot. Then an intern comes in and accidentally wipes the appointment off the board with her shirt. Macy yells at her and tells her to rewrite the appointment on the board. The whole premise of the joke and pretty big part of the movie is that the intern rewrites the appointment in the wrong day, thereby causing the Hollywood people to miss dinner, enrage the Mayor and his wife and have the town turn on them. When the girl walks away however, the appointment is clearly rewritten in the correct day (Tuesday). This ruins the whole misunderstanding because although the appointment is in the wrong day later in the movie, at the moment the joke is supposed to be set in motion, there is no mistake.