Revealing mistake: When the sheriff's car is flipped upside down, the sign behind the car is upside down too, so you can tell the car isn't really upside down.
Continuity mistake: At the Gator Motel, after Cledus and Bandit get part of the money, when Bandit starts crying about Frog and blows his nose into the money, there is a side shot showing a wad of bills in Bandit's shirt pocket before he actually puts the bills into his pocket in a following shot.
Continuity mistake: Bandit and Frog are driving in the T/A with the windows up and the T-tops on. When Bandit passes the screaming girls in the Eldorado, the windows are down and the T-tops are off. They then cut back to the inside of the car with the windows up and T-tops back on.
Factual error: The Bandit is in a showdown with Buford T. Justice in a desert mountain range shortly after crossing into Texas. There are no desert mountain ranges in eastern Texas.
Revealing mistake: When Sheriff Justice's car falls off of the drawbridge, there are ropes visible on the sides.
Continuity mistake: When Sheriff Justice has caused the roller coaster frame to collapse his car's left front hubcap is gone, but soon reappears. Then during the "game of chicken" between the semi-trailers and police cars, his car's left back hubcap is gone, but reappears just before Justice thinks about retiring.
Revealing mistake: When in the desert crash scenes, there is a side on view of a garbage truck lifting up a Police car and dropping it into its bin on the back. In the foreground is an upturned Police car that another car vaults over and crashes. You can see the ramp in front of the upturned car that enables the other Police car to vault it.
Continuity mistake: When Buford T. Justice's car goes off the drawbridge, it is a different older body style car than what he was driving originally.
Continuity mistake: When Cletus is racing his truck in the beginning scenes, several times they show him out in the lead by himself, but then they'd cut to him inside the truck and he was always passing the same trucks over and over again.
Plot hole: We are supposed to believe that The Bandit somehow built a net out of rope large enough to support a 9,000 lb elephant, was able to suspend this 9,000 lb elephant (inside an enclosed trailer, no less), all by himself in one night and on a drunken stupor. That's some talent.
Deliberate mistake: In a couple of scenes, Bandit's Trans Am's engine sounds are dubbed, and you can hear the shifting of a manual transmission when his car was an automatic.
Continuity mistake: In the gas station scene, the attendant tells Bandit he is one of the top 5 A-holes. He then walks toward a back room in the garage, and while he is approaching the door it is fully intact. When he slams the door, Bandit stoops down to a crack in the door where one of the slats is missing, that was there a few seconds before.
Continuity mistake: When Justice is chasing Bandit after the desert crash scenes, he says about how Bandit has picked a route with only one way out, and behind him you can see a load of trucks. The next camera shot then shows Justice driving away from the camera with Police cars following, then the next shot then goes back to an interior shot of Justice and there is now nothing behind him.
Other mistake: When Justices car gets crushed as is almost triangular shaped, and driving down the road, it shows a shot of Justice cleaning off some dirt from the dashboard. If you look at the hood/bonnet where all the crease marks are from the crash, you can see quite a bit of rust where the paint has flaked off. Considering the damage is only supposed to have just happened, there should be clean metal not rust.
Revealing mistake: Right after one of the Mountie's cars is split in half by the snowplow, you can see the mini-wheel used to keep the half-car propped up.
Plot hole: How can a doctor (not a veterinarian) with no medical equipment tell for certain how far along a pregnant elephant is, especially when the gestation period for an elephant is 20-22 months?