In the car chase scene the back window of the taxi breaks and shatters everywhere, but in the next shot it is not broken.
Georges' seatbelt goes suddenly from unfastened to fastened.
In the traffic directing scene, the Mercedes hits a Monte Carlo, but in subsequent chase scenes, there is no damage to the Mercedes.
When the girls' car crashes in the alley while in pursuit of Kenji, the bullet holes in the windshield disappear.
When Carter and Lee have their first gun fight together, Carter runs out of bullets. When Lee slides across the floor to 'load' him, a bullet is already present and visible, ready to shoot. He never cocked the gun, or had time to, in order to load and shoot.
In the beginning of the movie, Carter (as a uniformed police officer) is seen directing traffic flow in Downtown Los Angeles just before the ensuing accidents he causes. In the City of Los Angeles, however, the police officers of the Los Angeles Police Department do not direct traffic. Instead, that job is assigned to traffic officers (noted by their brown-colored shirts, yellow safety vests, and white caps) of the Los Angeles Department of Transportation (LADOT), not the LAPD.
When going into the restaurant in the Eiffel Tower, it is not possible for a taxi to drop you off at the door - there is no traffic allowed under the tower.
When Kenji targets Ambassador Han, he rotates his rifle after having Lee in his scope. At that range, the rotation degree would've clearly put the shot outside the building Ambassador Han and Lee were in.
In the Traffic Directing scene the Mecedes hit a Monte Carlo but James Carter tells the driver she dented an "81 Cutlass Supreme"
The Paris Commissioner announces himself as DGSE. The DGSE is France's military and counterespionage wing. It has nothing to do with internal security or police work. He should have said Police Nationale, which runs Paris law enforcement and, as a subordinate of the Ministry of the Interior, handles matters involving foreigners.
Carter is an LAPD detective but his uniform is missing the detective rank patch.
In the scene where Carter is driving the Mercedes, you can see several skid marks on the ground before he makes the u-turn.
At the end of the film, Lee and Carter punch a detective in the face in front of other detectives and officers, but are somehow able to dance away without being arrested or even questioned.
When fighting on the Eiffel Tower, and it's a wide shot, you can see where they have placed planks of wood beside the girders to widen their standing room. Then as the camera lifts up, the planks are gone.
When Carter is checking out the showgirls in their dressing room, you can see part of the camera crew in the mirror.
In the World Court scene the shadow of the camera crane in visible as the camera zooms in on the podium.
Crew member briefly reflected in George's cab windshield when he drops off Lee, Carter, and Genevieve at the French ministry building.
Carter and Lee go to a cabaret which is located at 50, Rue Franklin D. Roosevelt.
There is no Rue (i.e.) FDR in Paris. There is only Avenue Franklin D. Roosevelt, which is a wide avenue spreading between Place Etoile (Arc de Triomph) and Pont des Invalided, and not a small alley.
When Carter is sitting at the café (probably Café de la Paix) in front of the Opera House he sees the name Geneviève advertised on top of Théâtre des Champs-Elysées. The theater is on Avenue Montaigne in the 8th arrondissement, a little less than 2 miles away.
At the beginning of the movie, a sniper is preparing to assassinate the Chinese Ambassador, who he has in the cross-hairs of his rifle. After the shot is fired, the sniper rappelling down the side of the building, which is at least 17-18 stories tall. When Lee jumps out of the building across the street, is shown that he and the ambassador were on the bottom floor, far back from the window. There is no way the sniper, from that angle, would be able to see his target in his sights.
When Carter and Lee are in the elevator in Paris, a dog lifts his leg on Carter and Lee says "Good girl". Since it's lifting its leg he should have said "Good Boy" since it's obviously a male dog.
In the attempted assassination scene with all the national flags, the British flag is upside down.
In the opening scene, where Carter is directing traffic, at the second accident, the girl in the Mercedes hits an 80s era Monte Carlo, but when Carter is talking to her, he calls the other car an '81 cutlass.