Continuity mistake: When Carter is singing karaoke, first you see the girls beginning to join him on stage. In the next scene (right after the scene with Inspector Lee's reaction to Carter singing), you see Carter dancing with a DIFFERENT group of girls (it lasts a couple of seconds). Then, when Lee is calling out Carter, the original dancers from the first scene are back. Use the tall Chinese girl wearing the pink dress on the right side of the screen as reference in the first scene, then she disappears in the second scene and reappears in the last scene. (00:06:45)
Continuity mistake: When Zhang Ziyi shoots Rosalyn Sanchez in the casino office, Sanchez is facing away from her. You see no blood on her back. Later, when Sanchez falls into Jackie Chan's arms, there is still no entry wound from behind and no blood. When he spins her around, you see a bullet hole in the front of her arm and blood smeared on the front of her arm. (01:10:45 - 01:12:40)
Factual error: When Chris and Jackie are stripped butt naked at the freeway, they were in Causeway Bay (on Hong Kong Island). It is impossible for them to go back to the Yau Ma Tei Police Station in Kowloon Peninsula. The only way to get there is by traveling through tunnels or using the ferry. There is no road that you can walk along.
Continuity mistake: At the very end of the film when Jackie Chan and Chris Tucker are saying their final good-byes Chris Tucker is wearing the strap to his bag on his left shoulder and if you look you will notice in almost every scene even in the mistakes during the credits the rubber thing on his bag is there and then in the next scene the rubber thing is gone, and during the credits the rubber thing is back but the strap is crooked with the rubber thing there. (01:20:00)
Continuity mistake: After Chris Tucker and Jackie Chan have been chucked naked out of the car on to the freeway, they run to the police station to get changed into new clothes. When in this room, they have a little argument with each other and every time the camera pans across to Chris Tucker the clothes on the hangers keep shifting from side to side.