I'm a pretty avid gamer. My wife and in-laws enjoy playing board games so we occasionally have a "game night".
Some of our favorites:
Settlers of Catan (and the expansion sets)
Ticket to Ride
Power Grid
Guillotine (fun, short filler game)
Memoir '44 (two player WWII game - my brother in law and I loooove this game)
And, of course, I enjoy video games too. My gaming time has been pretty limited lately so I've been playing some casual games like Plants vs. Zombies, and Defense Grid.
Always looking for a good RTS, but that genre seems to have died. If you've played any good ones recently, let me know.
I'm otherwise a huge fan of the Storyline First Person shooter. Half Life II and Bioshock being the pinnacle of video gaming technology, IMHO.
Company of Heroes is a great RTS. There are a couple of expansion sets for it, too. The game is very balanced, the graphics and sound are awesome, and the AI is really smart.
Also, check out Fallout 3 for a good, albeit buggy, storyline FPS. The PC version crashes a lot so save frequently. But it's a really fun game with an excellent story line and world.
Edit: I should also mention for the Grand Theft Auto fans, that Saints Row 2 is a lot of fun. I actually enjoyed it more than I did GTA: Vice City and San Andreas.