This movie is one of a handful of pictures that Burt Reynolds made with his 1970s girlfriend Sally Field. In every movie they made together, Field played Reynolds' girlfriend. The movies are: Smokey and the Bandit (1977), Hooper (1978), Smokey and the Bandit II (1980) and The End (1978).
In the movie, Burt Reynolds and James Best are long time friends. They also close friends in real life. In fact, Best, who also teaches acting, was an early acting instructor to Reynolds.
When Sonny and Ski escape the cop (with the jet car) you hear the cop yell, "Great God Almighty!" but if you look into the rear view mirror his mouth isn't moving.
When Hooper rolls the vehicle he and Tony are riding in, the cameraman's reflection can be seen in the hood of the car after it comes to rest on its side.
When Cully & Hooper are telling Gwen about the upcoming rocket car stunt. Gwen is sitting on the table. The position of her arms keeps changing between camera shots, from her sides to in front of her while she's leaning forward.
Amtrac, SWAT man: [Sonny has smashed the jukebox to get Amtrac's money back]
Well, if you wanted to make somebody look like an asshole, boy, you did! That was you.