Top Gear has a “fastest lap” competition, where celebrity guests race against the clock. The racers use the same car, and drive on the same track. The type of car changes every so often, but generally speaking it’s an even playing field for all participants.
I think this formula would make for a killer free-to-play mobile game. I’m choosing mobile for this one, because this game is small in scope and quick to play — about a minute per session.