My friend drives an Australian Ford Falcon, so the steering wheel is on the right side of the car. He's gotten quite a few double-takes as he pulls up at a stoplight and the driver of the car next him sees a dog sitting in what they assume is the driver's seat. It's also quite ammusing at drive-throughs.
As far as animals on bikes, my grandfather had a pet crow that used to ride on his handlebars. The bird would fold back it's wings and lean forward when they were moving. Talk about a cool hood ornament.