Love 'em even if a few games get scuttled from time to time.
King of Tokyo (more for the kids)
Innovation (on recommendation)
7 Wonders (on recommendation)
Tales of the Arabian Nights
Fantastiqua (just looked into this and like the sound of it)
I can provide feedback on the games I'm familiar with here.
Innovation: better for two than three or four. Uses a lot of odd terminology in the rules but not too complex once you understand what's going on. Very, very mean though. The game is focused on milking things you get that hurt your opponents until they can counter them.
7 Wonders: Really fun game, not playable with 2 using normal rules. Plays best with 4 or more. Light-ish but still offers a lot of choices.
Tales of the Arabian Nights: A lot of fun but very random. The choices you make often lead to skill rolls that don't seem like they're consistent with what you'd expect. If you play it for the 'game' it's not that great but if you play it for the storytelling it's a ton of fun.