Timerider: The Adventure of Lyle Swann (1982)

Lyle Swann is a successful off-road racer who mistakenly gets sent back in time 100 years. When a band of outlaws robs Swann of his motorcycle, he's forced to outfox the gangsters and give in to the seductions of a gorgeous local lady. With only his smarts and a map from an Exxon station, Lyle must try to make it out of the Old West alive and find a way back to modern times.

Science Fiction, Western