Continuity mistake: The yellow Aston Martin DBS that Gambit and Purdey give chase to at 0:09:45 transforms itself into a yellow Audi 100 Coupe at 00:15:00. Also the "P" registration mark (1975-6) on the Aston is incorrect as the marque had been discontinued in 1972.
Continuity mistake: After the drive-by shooting at the Federal Building, when Owen and Sam escort the defector and his girlfriend into the sedan, the license plate number is "5GOI417" which soon changes to "5PCI294" when Sam drives backwards. Then it changes back to "5GOI417" when Owen and Sam leave the car, and yet it's "5PCI294" again when Owen points his gun at the camera.
Character mistake: When Mac, Stella, and Danny are trying to determine where the fired bullet entered the train car, none of them are wearing rubber gloves. But even though they're not handling any evidence, they're still processing a crime scene. (00:05:00)