Continuity mistake: When the two Lamborghini ladies are stopped by the police the first time, you first see the lady in the red dress from the front. Her zip is obviously up. In the next shot you see the other race participants raging by. The lady is shown from behind now. When you see her from the front again, the zip is down. Now we can see her from behind, and as we see her from the front again the zip is up again. Then she puts it down again to show the sheriff her driver's licence.
Continuity mistake: We can see Sammy Davis Jr. as he slits Burt Reynold's car´s tires. Later we can hear Reynolds as he says that they lost more than 2 hours by fixing the damage. But how comes that at the petrol station, Reynold´s car leaves even before Sammy Davis Jr. and Dean Martin arrive there?
Continuity mistake: After the Sheik pulls up to the restaurant and the car hop brings out his food, he pays the girl by sliding a ring onto her finger. When he pulls away the first time, you can see that she has a wad of cash in her hand. The problem is, he hasn't given the money to her, yet. In the next shot, he backs up and as he says, "Get a physical," he places the money in her hand.