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: At the beginning of the film, when Vincent first approaches Max's cab, Max reaches up to the visa in his taxi with his left hand. When the shot goes to Vincent, it's now Max's right hand, not his left. (00:13:35)
Continuity mistake: When Max and Vincent pull up in the alley on the second contract, on the overhead view there is nothing on the alley, but when it goes to a shot of the back of the taxi, there are two large concrete objects, also if you look closely there is only one person in the cab. (00:29:20)
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: In the middle of the movie at the jazz club, Max and Vincent are talking, at one point you see Max look at Vincent and raise his drink, in the following shot you see that his face is down looking at his drink, then he looks at Vincent. (00:39:05)
Continuity mistake: When the 2 detectives are talking outside the apartment where the first contract was carried out, in one shot of the detective with the long raincoat like jacket he is facing the other detective on the scene, in the following shot, he is talking with his back towards him. (00:37:45)
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 scene where Annie hands Max her business card, you initially see the car window lowering and then stopping halfway down. In the next shot the window is still moving; a moment later the window is still in its halfway-down position and stopped again. (00:12:45)
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.
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)