Visible crew/equipment: When Clive's car explodes you can see a camera covered by a protective blanket lying in the middle of the road. (00:09:03)
Continuity mistake: When the young Chinese girl is kidnapped, while in the car, her tie is on. When she tries to fight the guy her tie is off in one shot, then back on again a few seconds later. There is also no blood after the first shot, but when the shooter opens the back door, there is blood on Soo Yung's face, but mid fight, the blood is missing, and again blood is present when she runs out. (00:10:40)
Visible crew/equipment: After Han's daughter has been kidnapped, and he is back at home speaking to the FBI, immediately after the agent says "I know this is a difficult time for you but we're going to get your daughter back" you can see a boom microphone above their heads. (00:12:39)
Suggested correction: I've re-watched this part several times on HBO Max. There is nothing visible above their heads at the 12:39 minute mark. There is a shadow on the wall that is boom mic shaped; however, it would be pure speculation to what it is since it is very briefly and no equipment is ever shown.
Originally when I posted this mistake I added that I saw it specifically on the Netflix version. This was not included for some reason when it was uploaded. Watch the Netflix version and it's there.
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. (00:45:40)
Continuity mistake: When Carter tries to shoot Sang's getaway car after he and Lee fall through the roof, one can notice they used three different takes for the shooting scene (look at Lee during the three 'takes'). (00:46:08)
Visible crew/equipment: When Carter and Lee are at the police station trying to figure out what it is that Sang drops. Johnson pushes the protective glass into Carter and in the reflection, you can see 2 people, presumably crew members. (00:48:06)
Visible crew/equipment: As Chris Tucker rescues the little girl from the van, you can see a bearded guy in a white baseball hat, presumably a crew member, standing a couple feet away, reflecting off the back windows of the van when he opens the door and right after Chris Tucker says the line; "Tell your friends about me." (01:18:10)
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. (01:19:15)
Continuity mistake: In the scene where Carter shot Sang and then said, "Wipe ya'self off man, you dead..", Sang blinked his left eye. If they're dead, aren't they NOT supposed to move? (01:22:15)
Visible crew/equipment: As Jackie Chan begins to fall from the ceiling onto the banner after the climax you can see about 4 (maybe 5) crew members on the balcony to the right of the screen getting the high angle shot. (01:28:35)
Continuity mistake: When Chris Tucker is calling his policewoman friend, the phone rings at her house, she picks up the phone and presses the on button, but the phone makes a sound that means it didn't turn on, however she keeps talking like it turned on.
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: In the scene were Sang is running away from Jackie Chan after the building, you can clearly see that he doesn't have the scar he got from the little girl in the beginning of the movie.
Plot hole: The kidnappers initially ask for a ransom of $50 million. $20 million in $20s, $20 million in $50s, and $10 million in $10s. This translates to a grand total of 2.4 million bills (pieces of paper, that is) Every bill of American currency is 2.61 inches wide, 6.14 inches long, and .0043 inches thick. This makes roughly 2,791 bills to form a 1 foot tall stack. This means that the 2.4 million bills would take up a space of 96 cubic feet (assuming they are packed as tightly as possible). Also, since 490 bills make 1 pound, the 2.4 million bills would weigh (interestingly enough) just over 2.4 tons. No way they can move it.
Continuity mistake: At the beginning of the film in the scene where Chris Tucker is shooting at the Jaguar with C4 in the trunk. Different screen shots have the driver's window up and then down to hide the stunt driver or make the actor visible, whichever is necessary at the time.
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.
Factual error: When Carter is meeting with Clive in a diner car park, as Clive is escaping in a car with a trunk full of C4, Carter starts shooting at the car. It eventually blows up leaving Clive badly injured. The explosion is caused by Carter's bullets reacting with the C4. However, C4 is inert and if a bullet hit it, it wouldn't create an explosion. You could also argue that this explosion was caused by Carter shooting Clive's gas tank, but this is another myth created by Hollywood to please audiences.
Continuity mistake: Just before Jackie Chan falls at the end of the movie you can see that there are a number of bank notes on the banner. Subsequent shots of him falling and being caught on the banner by Chris Tucker show there to be no bank notes on the banner at all.
Visible crew/equipment: When Chris Tucker and Jackie Chan are on top of the sight seeing bus, Jackie escapes by grabbing onto a street sign overhead, which is being held up by straps that supposedly ascend higher. In the next shot the crane that is holding the sign up can be seen in the background.
Character mistake: After the first attempt by the kidnappers to get the ransom money, they tell the FBI to bring the money behind the Foo Chow restaurant. Clive gives Carter and Lee the exact same destination. Why in the world would kidnappers give the FBI a drop-off location exactly where they are based?