Deliberate mistake: When the girls all order their food at the drive through they get their food but never pay.
Continuity mistake: In the first pursuit of the Creepy Thin Man, at the party, the girls are running down the stairs while they change and begin to litter the stairwell with clothes. There's one wig dropped that's dark brown/black and straight. Though Lucy's hair at the party does appear shorter than her actual hair length, her hair is curled up at the ends, not straight like the dropped wig. So whose was it?
Continuity mistake: Just after the explosion at the Angels' headquarters, Drew has soot all over her face, but in the final shot of her she's clean. Her hair's a lot neater too.
Continuity mistake: The caravan is shot-up with machine guns - so why are the bullet holes (the metal of the caravan's walls) bending outwards?
Continuity mistake: During the helicopter scene at the end, the rope as well as the clamps they used to pull themselves up on suddenly disappear from underneath it. It's visible in most of the close-ups underneath the helicopter, but missing in others.
Plot hole: In the Redstar mainframe, we are told that the floor of the vault will trigger the alarm if it receives more than 0.25 seconds of contact (apparently even with the security checks). What would be the point of the bosses going through all of those security measures if they would just set the alarm off anyway? Surely once the girls have faked the fingerprint and retina scans, they don't then need to flip across the floor!
Continuity mistake: In the scene where the Angels are fighting on top of the tower, Lucy Liu and Crispin Glover do a spinning move. There is a close up on Lucy before she does the move and then in the next shot we see her and Crispin spinning out of the way. In the close up shot, we see her starting to spin to her right, but in the wide shot she's spinning to her left.
Other mistake: At one stage the Angels speak with each other in a different language, so that the people sitting next to them wouldn't understand. Having listened to it for a few times, I realized it was Finnish. Funny though, the thing they actually said there (in Finnish), was totally different than the written translation.
Continuity mistake: In the scene where the Angel throws Lucy's "homemade" muffin: The first muffin actually broke through the door and you could see the depth and the cracks around the point of entry. When the girl comes through the same door, you can see the door no longer has a hole in it, just a fake muffin with adhesive attached to the door to look as if it had done so previously.
Factual error: In the Indycar scene, both Cameron Diaz and Crispin Glover couldn't jump in their cars and drive off without help from the pit crews because CART cars don't have starters installed. The cars must be started manually from the back by one of the crew. Also, Indycars must be kept at a very high RPM or else they will stall out, so the quiet scene on the bridge wouldn't happen because both cars would have died. And without a crew member present, they couldn't get the cars restarted for the game of chicken.
Continuity mistake: When Natalie is in the room preparing to enter the chamber to install the device on RedStar's system, she is wearing a white outfit from head to toe with a small oxygen mouthpiece for breathing. However, when the door opens to the room and she begins her gymnastic flips over to the system, the outfit no longer covers her hair and the oxygen mouthpiece is gone. There doesn't appear to be a hood attached to the outfit.
Factual error: In the opening scene with the terrorist on the aeroplane, the LL Cool J character opens the hatch to the cabin and jumps out with the mad bomber. Pretty amazing considering aircraft doors open inward, requiring about two tons of force to overcome the air pressure exerted from inside the cabin.
Revealing mistake: When Drew is shot through the window, supposedly naked under the towel, you can see underwear when the shot is from below looking up, before she falls. As she falls down the hill, look closely and you can see the skin-tone suit she wears.
Visible crew/equipment: Right after the race car goes over the bridge the scene changes to the Angels' HQ & there is a close-up of the TV screen that they are watching. As the camera zooms out you can very clearly see the reflection in the TV of the cameraman backing away from the screen with his eye to camera.