Continuity mistake: In the scene when Max and Annie get off the train after Vincent dies, it is pitch black. After the train moves away, and Max and Annie walk down the street, dawn has broken.
Continuity mistake: When Foxx and Cruise are in the lift with the cop in the hospital, the door to the lift closes all the way to the right. When they get out, the door closes in such a way that two doors meet in the middle.
Continuity mistake: In the club Fever, one of the Korean bodyguards gets up off the ground and runs to restrain Vincent. As he gets up, the people around him are dancing when they're supposed to be running around panicking. When Vincent shoots the bodyguard holding the MAC-10, another bodyguard in a white suit is visible in the background already trying to pull Peter Lim out of the booth. The bodyguard does not run to Peter Lim until a few seconds later in the scene.
Continuity mistake: When Vincent is talking to Daniel (the trumpet player), Daniel's upper lip changes from sweaty to dry at least 3 times.
Continuity mistake: After running out of the hospital, Vincent and Max face off on the foot-bridge over the freeway. As Vincent moves toward Max, in the long shot you see him move the gun from his right hand to his left. In the close-up, it stays in his right hand.
Continuity mistake: After Max and Vincent leave the first hit, while they're talking about why Max cares about the death of "some fat Angeleno," their cab is being followed in rapidly successive shots by a silver car, then a black SUV, then the silver car again, then the police cruiser.
Continuity mistake: When leaving the club Fever (I think) the taxi driver is so shaken he drives off and hits two cars parked to the left, leaving them badly damaged. Later, just before he flips the taxi, you can see that both sides are unmarked, which seems unlikely.
Continuity mistake: After they leave El Rodeo there is noticeably more blood on the roof of the cab and in the cracked glass of the windshield, so much so that it is running down toward the hood.
Continuity mistake: When Vincent shoots the two guys in the alley who stole his briefcase, there is no damage on their bodies whatsoever from the gunshots. Despite shooting both numerous times you can see there are no holes or blood on either of them.
Continuity mistake: In the jazz club, when they talk to the witness, the lemon slice in the witness' drink changes position between shots.
Continuity mistake: In the scene after Max visits Felix - when they drive away - the tape holding the taxi sign on the top of the taxi changes. The top piece of tape is gone in one of the shots, and then it comes back.
Continuity mistake: When the police are examining the place on the ground where the first victim fell, there is lots of glass from the broken window - and it's close together. That glass is not there in previous shots - for example when they look down from the window.
Continuity mistake: After this dialog "You might make it through the night, come out 700 bucks ahead". Notice there are fewer cars behind them, next shot more cars behind, then again fewer. The scenery behind the car changes in seconds.
Continuity mistake: When Vincent shoots Daniel in the head, we can see several bullet holes, but when he falls onto the table, they've gone.
Continuity mistake: When Max gets off the train, he has his glasses on. However, in the next shot of him getting off, his glasses are gone.