If you like third person shooters I would check out Metal Arms: Glitch in the System. I don't think it sold very well but it had a lot of charm and I remember having fun with it as a Ratchet and Jak fan.
I don't know how rare these are considered to be, but I'll shout out Zone of the Enders 2, an incredible action game by Hideo Kojima, and Wild Arms 3, one of my all-time favorite JRPGs.
I don't know if you're into skateboarding games, but Thrasher Skate and Destroy is one of my all time favs. The soundtrack is unbeatable, and IMO, it's so much better than Tony Hawk's Pro Skater.