Other mistake: Not necessarily a mistake, but still odd. When Brian pulls up with the Supra on the flatbed, and he pops the hood, the wrong engine is shown. Yes, Jessie says it's a 2JZ, which is technically correct, but it's the naturally aspirated version 2JZ-GE, not the twin turbo 2JZ-GTE. Are we supposed to believe that they replaced the engine and the transmission of this car before it was done? It would have been cheaper and easier to find a twin turbo version with the right transmission.
Continuity mistake: There is a scene near the end of the movie, where the hero is chasing the two guys on motorcycles that just shot his friend. At one point, first the motorcycles, and then the car leap over a hill on the street. You can clearly see two ramps at the top of the hill, one for each motorcycle. (01:32:50)
Continuity mistake: After Dom parks his car in the garage after the first race, and walks outside, the cop car that comes down the hill is a Ford Crown Victoria. When the cop car turns around in the middle of the street it's a Chevy Caprice. Easiest way to spot the difference? First car has wide lights, the second one doesn't. (00:23:20)
Character mistake: In the opening scenes when Brian goes back to the shop, he demands that he needs some nitrous to boost his low top speed. Well I'm sure that most tuners will agree that more horsepower doesn't equal more top speed, it only contributes IF you have a transmission that can handle it and distribute it. (00:09:53)
Continuity mistake: The final hijacking scene was shot on Dominigoni Parkway Road. You can see where they pass the same background a few times. In the beginning of the scene they pass over the same bridge twice. You can also see where they switched from traveling east to west and vice versa. (01:17:40)