Continuity mistake: Near the beginning of the film when we see Max pull up to the first hit location and Vincent is talking to him in the back; watch closely and in one shot we see that Vincent has his hands below (probably on his knees), but in the following shot we can see his left arm is now up and grabbing onto the glass that separates the driver from the passenger inside a taxi. (00:16:25)
Continuity mistake: When Vincent faces Annie for the first time in her office, her face and forehead are all sweaty and her hair is a mess and all over her face. In the following scene where Max and Annie are in the elevator, Annie's hair is back to normal and is very well combed. Also, her face is not sweaty anymore.
Continuity mistake: At the third contract killing, where Max and Vincent are sitting at a table in the jazz club with Daniel (the owner), watch the glass and receipt on the table, in one shot both the glass and receipt are on Daniel's side, then in the following shot both the glass and receipt have moved across the table somewhat to Vincent's side. (00:39:45)
Continuity mistake: As the feds and Max and Vincent arrive at the club, there is a shot from the feds car of the taxi pulling into the side street where the club is, the shot goes back to in front of the cab, and they are just turning in, even though in the previous shot they should already be in the street. (01:14:50)
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 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.