Dubs, you gotta watch Bebop, Black Lagoon, Baccano!, FLCL, and Wolf's Rain. Those are probably the best ones out there (the first three ARE the best) and Steins;Gate's pretty high up there, too (if you saw Chaos;Head, that's an absolute must-watch).
As for others:
- Darker Than Black: Gemini of the Meteor (2nd half)
- Mushishi (might not appreciate it as much as I did)
- Eden of the East (watch both films, too)
- The Melancholy of Haruhi Suzumiya (could call it a slice-of-life, but I honestly don't see any in there)
- Durarara!! (same guys responsible for Baccano!)
- Sword Art Online
- Btooom!
- Monster
- Puella Magi Madoka Magica
- Code Geass
And I know the chances are slim, but I'm still recommending Clannad, as well.