Try Tetris Friends. It has several different ways to play Tetris, including the classic way. Also, I second Mind Jolt. I do love Farkle, even though it can get frustrating at times because of the luck aspect to it.
If you run out of ideas on Facebook, try Bored.com. There is a Roller Coaster game on there that I have been addicted to for days. It is frustrating as anything, but fun.