Just trying to put together a list. E.g. Francois Truffaut's 400 Blows has the father of the protagonist involved in a rally club.
Seems like Jackie Chan was driving a rally car in one of his early movies, a Mitsu maybe?
Eric Bana's story about his Ford Falcon - it is pretty good.A more recent rally movie is "Love the Beast" which features a lot of Targa Tasmania. Netflix has it.