Visible crew/equipment: When George drops Lee, Carter and Genevieve off outside the embassy to meet Reynard, right before George tells them he won't be there when they get back, as the camera moves around the car a reflector screen and a crew member can be seen reflected in the side window of the car.
Continuity mistake: In the scene where Carter is fighting Kenji's men, Carter is carried and put on a chair by one of Kenji's men who is felled by a blow to the groin. After this another a man from the other side of the table is hit on the leg by a chair which travels under the table from Carter who pushes it with his leg. Carter catches a chair that's is thrown by him and tries to hit him from the same place but in the next shot he is right next to the guy who has another chair and is trying to hit Carter while Carter is trying to hit him. It would be impossible for the man to move, pick up the chair and start hitting Cater all in a second or two.
Continuity mistake: When Lee and Kenji are in the restaurant on the Eiffel Tower, Kenji cuts Lee's right arm which leaves a rip in his suit. A few shots later when Carter comes in disguised as Genevieve the rip is no longer there, and doesn't reappear throughout the remainder of the movie.