Continuity mistake: The car at the arresting scene was boosted by Baby a couple scenes earlier. When he gets arrested, he suddenly has a key of the car and turns off the engine. How did he acquire the key of that boosted car?
Suggested correction: We don't see him boost the car, though. He could have stolen it from somebody who was in the car, as he has done a couple times in the movie already.
Continuity mistake: During the shooting between Bats, Darling and Buddy with the guy in the white suit and the "cops" Darling gets shot in the right arm then she keeps shooting and moves back, but in the next shot she is at the front again.
Continuity mistake: Darling got shot in the warehouse but in the diner she has no blood on her arm or the sweater.
Continuity mistake: Towards the end while Baby is being arrested at the bridge, the sun changes between shots.
Continuity mistake: We see a close-up of Buddy being shot in the leg, with blood, but in the very next shot, there's no blood, or hole in his pants.
Continuity mistake: In the scene towards the end where Baby is pushing Buddy's car off a multistory parking lot, after he says "Fuck you, Buddy" he uses a stick shift. However the truck he's using is a 1989 Chevrolet Blazer K-5, which does not incorporate a stick shift, only a column shift. As evidenced by the next scene when Debora uses a column shift to put the truck into reverse. The trucks are the same in each scene, also evidenced by the bullet holes in the windscreen in both scene.
Continuity mistake: The shot of Baby's car being crushed begins with the proper Ford Taurus, but the car being crushed later is actually the 3rd generation Infiniti G35. (00:33:22)