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.
Other mistake: In the scene where Jamie Foxx flips the taxi, you can see Tom Cruise sitting bolt upright, hanging from the ceiling as the car is sliding. As the car stops, however, you see that he was not wearing a seatbelt and is lying on the roof of the overturned car.
Revealing mistake: In the scene in the morgue, you can see the carotid artery beat on the "body".
Factual error: When Vincent and Max enter the Fever nightclub, we hear loud dance music. However, Vincent calmly tells Max to stay near him and not wander off or he'll shoot bystanders first. Anyone whose ever been in a crowded, noisy dance club knows it's almost impossible to have a normal conversation without shouting to be heard above the music.
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.
Factual error: The 2nd location Vincent heads to is on Fountain Avenue in West Hollywood. Upon his arrival, the victim is shown from the inside his apartment and out the window, lots of highrises are shown all over. No such real skyline of highrises like this exist in West Hollywood (especially on Fountain Avenue).
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.
Continuity mistake: When we first see Vincent in Annie's building, he is in an office to the left side of the building. You can tell this because there were offices down and to the right. However, when Max is telling Annie "now" there is an office below her on the right side of the building. (01:39:00)