Draw Something, Flyff All Stars, Tiny Tower, LINE PLAY... yeah, these are pretty fun imo. Apps can be downloaded from Google Play. Is it your first Android device?
Hearthstone I've heard is pretty good, other than that I enjoyed the nintendo emulator that they came out with for android. It's pretty much a app where you download almost any Nintendo game and then put it on the emulator. I haven't used it in a while though.