Braid is a fun artsy game, very puzzle heavy though so if that's not your thing then maybe look elsewhere. Also if you've never played Banjo Kazooie I'd highly reccomend that, great platformer similar to Mario 64. Shadow complex is a great game, though more of a sidescrolling shooter. I hear Splosion man is pretty fun, though I've only played the demo. Liked what I saw though.
In terms of shmups, Geometry Wars 2 is king. Has six different games within it, all are very fun in their own way.







