WipeOut was great on the old playstation... and it's pretty darn good on the PSP too!
it's
anti-gravity sled racing, with airbrakes for the tight corners. basicly you learn the courses by braile for a while, then once you can stay off the walls and not come in last, you can unlock new couses and better sleds.
even before you are any good at it, though, you still get to choose your sled model... things like, do you want good acceleration and cornering? or high top speed and strong shields? or perhaps all-around averageness? or...
lots of different powerups for weapons and defenses (often with a choice between hitting the powerup or one of the speed-increasing booster arrows) make winning about more than just learning the courses well enough to run them quickly.