I'm odd in that I love practically ever game I can get my hands on. There's always something to enjoy whether it's a unique mechanic to the game, fantastic artwork, or fun little strategies that ONLY work on that particular game.
That having been said, current favorites include:
Cards Against Humanity
Apples To Apples
Magic: The Gathering
Warlord: Saga Of The Storm (now defunct, but good while it lasted)
Betrayal At house On The Hill
Zombies!
Clue
Settlers Of Catan (and yes, I DO have custom purple pieces)
We Didn't Playtest This At All (and all expansions thereof)
Scrabble
Arkham Horror (let's hear it for co-op board games!)
and pretty much anything that Bill, Ross, or Dan suggest; these gentlemen have yet to steer me wrong on a fun gaming experience.
I've played Twilight Imperium once, and I did have fun; I would have to play it at least one more time to add it to the above.