Six String Samurai is free on youtube iirc. It's not a game, (Unless you decide to take a drink every time there's and awesome guitar solo, an imitation of an album cover, and a character made to look like a musician) but by god, you'll be properly cultured by the end.
Also, Dwarf Fortress, if you're willing to spend an hour or ten learning how to play the game.
You could also return to an old game you already have that you stopped playing. Who knows? You might find something fun to do again.