Hmmm, I'd go east bound 'n down for this one - Smokey and the Bandit I or II will have none of the qualifications you're looking for, unless your imagination can stretch some of the rules. If you like Burt, check out Hooper - he's got a rocket-powered firebird in that movie you might be interested in.
Anyone remember a movie starring Lee Majors called "The Last Run" or something like that, it was set in the future when cars were outlawed.
The Road Warrior IMO pushes the word "hybrid" to the furthest point so far.
Another would be The Hidden - alien body snatchers that like to steal ferraris. A stretch yes, but nice cars and some good chase scenes.