Continuity mistake: When Jackie Chan and Chris Tucker first arrive at the museum/fundraiser, Jackie Chan's hair is the same as it was throughout the movie - longish in the back and moussed/gelled back. As the scenes at the museum progress into the showdown with Jun Tao, all of a sudden, Jackie Chan's hair is a lot shorter.
Continuity mistake: During the fight scene at the Foo Chow restaurant, Tucker and Chan join hands while beating up the bad guys. They stop for a moment to look at their handiwork and their hands are still joined, then the camera cuts to a different angle and their hands are nowhere near each other.
Continuity mistake: When Thomas (aka Juntao) and Lee are fighting in the ceiling beams near the end of the movie, Thomas's briefcase flies open when he is trying to get Lee to let go. You see a lot of money explode out of the briefcase, and the briefcase falls to the ground. When the shot changes to a semi-bird's-eye view of the floor, the money appears to be all on the floor already. However, when the shot changes back, you see bills flitting about behind Thomas. This happens several times.
Continuity mistake: In the big fight seen in the museum Jackie is holding up a large vase while 2 bad guys are punching him. Jackie sees one of those pole things that hold the velvet ropes and wraps his leg around it. When he does you can clearly see that the the pole is right side up, then when he kicks his leg up to hit the bad guy in the face is it upside down.
Continuity mistake: When Lee and Carter are chasing Sang onto the broken bridge in the run down building, Sang trips and drops the detonator, which then falls towards the edge of the bridge. When Lee falls in the same place a few seconds later, he picks up the detonator which is now in the middle of the bridge.