Factual error: In the shootout scene, De Niro loads the injured Kilmer into a stolen Ford wagon, drives backward pushing yet another unoccupied car out of the parking lot. Despite that second car being unoccupied in a parking lot, the car rolls backward (which it can't do in park or with a park brake applied), and after a few car lengths, the pushed car suddenly turns sharply (which doesn't happen with a locked column, which is standard equipment that self-activates when the ignition is shut off). Now, if the car were left running, in neutral, with no brake applied, everything that occurs would be possible. But the combination is very unlikely, especially right behind the car that a fleeing bank robber will choose to steal and ram into it.
Factual error: When Vincent enters the nightclub, you can see that a woman is walking through the metal detector, but the security guard is scanning her with a hand-held wand at the same time. This is totally unnecessary. The hand-held should be used only if the walk-through is triggered.