Deliberate mistake: When Cletus is driving the Trans Am as the bandit, it shows him driving to the left and waving at a group of girls. The close up of him driving must be reversed because it looks like the Trans Am is now a right-hand drive. (00:26:45)
Visible crew/equipment: This is the number one mistake of all time. When the sheriff is chasing the Bandit, they both drive into the stunt show and the Bandit is heading right for a burning wall. First, you see an inside shot then the shot changes to catch all the action, on the second shot of the Trans Am crashing through the wall you can see a Panavision camera [ yes it is that clear to even tell what kind of camera it is.] set up in the back of the car filming those shots.
Continuity mistake: During the film, but mainly noticeable in the Buford/Bandit scene with the Sherrif crashing into ice, the wheels on Bandit's Trans Am change. Most of the time they are a solid black wheel, then they change into a gold wire-spoke alloys.
Visible crew/equipment: When the Bandit stops at the biker bar to get some burgers, as he opens the car door you can see a set light on its stand fairly reflected in the door. This also is seen when he comes back out and opens the door again.
Continuity mistake: In the scene where Buford's car is getting towed from the alley the side of the tow truck is marked with "Star Towing" but in the ensuing chase we see the other door reads "Scott's Towing"