Revealing mistake: When Tallulah and the girls are acting in the Fat Sam's Grandslam song look at Tallulah as they sing the 'Ra da da da da da' bit. She looks straight into the camera.
Continuity mistake: In the scene where the man has DeNiro pull over to the curb and says he is going to kill his wife with a .44 gun, there is a close up of the meter clicking over to $2.75. In the next shot from the backseat, the meter reads $0.65.
Suggested correction: The reason for that is because after Travis stopped the car, he turned off the meter. Then Scorcese's character asks what he's doing, and to put the meter back on. The $.65 indicates "$.65 first 1/6 mile" as clearly painted on the cab.
As the text of the original mistake stated, there is a close-up of the meter. A biiig one, that follows by quite a few seconds the meter being turned off. You can see the 0.65 before that close-up, you can see it after, it then changes to 0.75 and so on. This correction is totally wrong and the original post is correct.
Visible crew/equipment: When the train cars are decoupled, behind the vapor cloud, a person is hanging from the left side of the train car but does not resemble any of the characters in the scene. (01:47:00)
Continuity mistake: In the scene where the German and Jewish drivers are arguing, there is a corner establishment visible in the background with a sign that reads "wash." In certain shots, a "going out of business" sign is visible in the storefront, while in other shots, with close-ups of two passers-by observing the argument, the same corner establishment is visible without the "going out of business" sign.
Revealing mistake: While fighting Clouseau, Cato sticks a wooden pole through the screen of a television. The screen is made of paper. (00:17:30)
Other mistake: Although the Lieutenant is actually sent to the police station in precinct 9, division 13, the sign over the door states it to be division 14.
Continuity mistake: When the soldier demonstrates the bazooka on a truck, the projectile hits the front of the truck, but the explosion comes from near the back of the truck.
Continuity mistake: Right at the end when the man takes his mask off, a strand of blonde hair hangs out from the back of "his" head. In the next shot the hair is dark brown.
Continuity mistake: When Brooke Shields yells "Mommy said that you had to come home right this instant", there's a long lock of hair in front of her left shoulder, which disappears at the cut. (00:06:20)
Plot hole: Since the criminals who used the dogs to rob the bank in the first movie were never apprehended (No criminal worth their salt would tell the authorities their caper was spoiled because the canines ran off with their loot), there is no way the people who are hunting the dobermans in the beginning of this movie would know the dogs were still carrying the cash. (00:18:00)
Revealing mistake: By order of the shrewd Harry Webb, the helicopter just destroyed the Cessna on the ground. The two guys decide that they are gonna walk back to civilization. Cut to the vehicle driving to the explosion site, and you can see in the desert sand ahead of the jeep fresh tire tracks from previous takes. And it keeps happening during the desert chase. (00:10:20)
Continuity mistake: The movie opens with a gang of thieves taking the luggage of several Japanese tourists distracted by a guy pretending to defecate on the lawn. One of the robbers is snatching a bright red suitcase in the first shot, which turns into a plain brown suitcase in the next. Also in this second shot one of the bags is lying on the street, while in the previous they were all on the sidewalk. (00:02:40)