Continuity mistake: In the closing credits, Sean's father was listed as "Major Boswell." However, it was established early in the movie that he is in the U.S. Navy, and major is not a rank in the Navy. Its Naval equivalent is the rank of lieutenant commander. In addition to the wrong rank being listed in the credits, in the scene when he was in uniform, he was wearing lieutenant rank, which is the U.S. Navy equivalent to an O-3 paygrade captain in the other branches of the U.S. military.
Suggested correction: "Major" is the character's name, not his rank.
Continuity mistake: During the drive with Han to go 'get his money', the steering wheel inside the black and orange Veilside RX-7 switches sides. When they pull up to the bathhouse the steering wheel is on the left, when they leave it's on the right. (00:40:20)
Suggested correction: The rounded dashboard throws people off, but if you look closely, you can see Han's hands are on the steering wheel, which are on the right side of the vehicle. The production didn't have any left-hand drive RX-7's for this "mistake" to have been possible in the first place.
Continuity mistake: Early during the race at night on the mountain, the road goes from gravel to paved in a matter of one or two shots.
Continuity mistake: In the scene where Twinkle first shows his car to Sean, you see that it is a plain green hulk VW, but 2 secs later when they turn up to the multistorey carpark for the meet/drift race, it has a set of 4 tyres on the roof. (00:19:20)