My family had one of these.
Here’s a review of a 1991 McDonald’s Happy Meal toy set featuring Back To The Future toys. I don’t remember much about these toys (or the set), but I do remember playing with that weird push-down car.
Hey! How neat is this? Terminal 3 at SFO has an exhibit called Japanese Toys. It runs now until April 2014 so I may just be able to see this in person! More details here.