Visible crew/equipment: When the cop car chasing the tow truck does a complete flip in the air, a roll bar is clearly seen where there was none before.
Character mistake: Whoever wrote the "homicide" memo on the captain's corkboard spelled "homicide" wrong.
Factual error: I drove a tow truck for almost 20 years, and there was never a lever under the dash that would permit the driver to drop the towed vehicle.
Other mistake: When Moss confronts the party crasher who has a gun to the arms dealer's head. The party crasher then pours gasoline all over the pumps and Moss shouts "Don't shoot, you'll blow this place up, I'm standing in the shit". As the scene eventually cuts back to Moss on a long shot, you can see that the floor is dry and he's not actually stood in the gasoline. (01:20:00 - 01:21:00)