Continuity mistake: After Axel shoots the screens in the gun club they show a shot of Karla and Russ talking about the shell casing. You can see the screens between and around them. There are no holes. Axel is also playing with the artificial laser sighted gun just as he was in the previous shots before he shot holes in the screens. Axel and Karla are later shown at the shooting range and the screens are perfectly intact. (00:36:30)
Continuity mistake: When Axel, Rosewood, and Taggart are racing to get to the City Deposit, Rosewood and Taggart fight over whether the light is green or red. Rosewood drives through it and hits another car. The red police beacon falls off the roof and onto the hood. As the car spins the beacon is gone. In the next shot we can see the beacon back on top of the car above Taggart's head. (01:04:35)
Continuity mistake: When Taggart is shouting at Axel in the pool he has his glasses on. In the next shot of him slipping into the pool, his glasses are gone. Also his cigar was in his hand in the scene before he slipped. Once he slips the cigar is in his mouth.
Continuity mistake: Following the final showdown, the bad guy is shot while trying to run Axel over. The car then crashes through a wall and a fence and plunges down a bank landing on its nose/bonnet. When it explodes, it is lying on its side.
Continuity mistake: When Axel is in Bogomil's house he finds his trainers. Axel picks picks up a left-footed trainer, but in the next shot he's holding a right-footed trainer.
Continuity mistake: When Axel, Rosewood, and Taggart are racing to to get to the City Deposit, Rosewood takes a hard left turn. During this turn we can see that Axel is in the passenger seat and Taggart is in the back seat. The next shot Taggart is in the front seat on the police radio and Axel is in the back seat. This clip was taken from later in the movie when the guys are racing to the Emperian Fields race track and Axel is in the front seat with Taggart in the back seat. (01:03:20)
Continuity mistake: When Axel, Rosewood, and Taggart are racing to to get to the City Deposit, Rosewood runs over several parking meters on the sidewalk which heavily damages the front end of the car. However, later when Taggart catches up to Axel and Rosewood outside the Playboy Mansion, he's driving the exact same car, complete with the police light, but the front end isn't damaged at all.
Continuity mistake: The construction worker Axel talks to at the beginning yanks off his hat (when he says "Son of a..."), but it jumps back to his head after the angle changes.
Continuity mistake: When Bogomil stops to help Karla their cars are several meters apart. When Bogomil gets the first shot he rolls on the bonnet of Karla's car. He walks 1-1½ steps towards her. She pushes him back (i.e. towards her own car), but even so - he bumps into his own car. It was much further away and in a different direction.
Continuity mistake: When Axel gets the bag of vitamins from Rosewood the bag is rolled/folded closed in one direction only. This is also seen after Axel wets his face with the water from the champagne bucket. After he wets his face he grips the back with the folded top of the back facing him. The next shot he is walking towards the receptionist with the bag facing her. The folded edge is now facing away from him. The single folded edge is best seen after he picks up the bag from the receptionist's desk. (00:31:30)