Mostly Settlers of Catan, and stuff like Risk, but it's been tough to get the boys to wanna play tabletop games as much now that they're older...the eldest has been playing D3/Reaper a lot lately, and the younger one loves playing League of Legends on their computers instead...
I'd have to think about my favorite board game (Scrabble, maybe). The board games I've enjoyed the most (Chess, Risk, Blood Bowl), no one else in my family likes. I've been playing a lot of board games in general now that my daughter's old enough for them. Of course, they're mostly kid-oriented, but I've enjoyed playing Pictionary and Clue. I also just bought Munchkin: Treasure Hunt, which seems pretty solid. It's very similar to the Munchkin card game, but a little simpler and less adult-themed so kids can pick it up. At any rate, they're all better choices than Candyland.
Does Dominion count as a board game? I've been trying to get into it. I guess that my favorite board game is go, but I find it very difficult and haven't committed enough time to become anything approaching skilled at it.
Guillotine is a card game that is really a board game.
It's fast and there is enough to keep your interest for the 30 minutes it takes to play, easy to learn and cutting the heads of French nobles is always a fun time.
Carcassonne is a fun game to play, but can take a bit of time.
My new game is "Love Letter", it's fast and fun and a bit silly.