I'm in for Full Throttle Remastered!
Others have already mentioned Planes, Trains and Automobiles, which is a classic John Candy film. "You're going the wrong way...." Such a great movie!
The one I'll add to the mix is the Blues Brothers. While it's not exactly your classic vehicle movie, the car chase scene at the end of the movie is purely epic. And, really, how can any movie with a car called the Bluesmobile not qualify?
From Wiki:
The film used thirteen different cars bought at auction from the California Highway Patrol to depict the retired 1974 Mount Prospect, Illinois Dodge Monaco patrol car. The vehicles were outfitted by the studio to do particular driving chores; some were customized for speed and others for jumps, depending on the scene. For the large car chases, filmmakers purchased 60 police cars at $400 each, and most were destroyed at the completion of the filming. More than 40 stunt drivers were hired, and the crew kept a 24-hour body shop to repair cars.
For the scene when the Blues Brothers finally arrive at the Richard J. Daley Center, a mechanic took several months to rig the car to fall apart. At the time of the film's release, it held the world record for the most cars destroyed in one film until it was surpassed by its own sequel.
Honourable Mention: Ghost Busters was easily one of my favourite movies as a kid, and the Ecto 1 was an awesome, awesome vehicle from a movie. I promise that sometime in the near future, I will definitely own the Ecto 1 LEGO kit.