Personally I play TF2 when I'm not "playing a game", if you know what I mean. It's just so easy to play and not get caught up in. I'd also recommend a racing game perhaps? Used to have Grid and PGR4 on the 360 before I switched to PC, and I picked up Grid, Grid 2, F1 2011 and F1 2013 in the last Steam sale. Just tone down the opponent AI if you can/want to and get a longer track - with a nice soundtrack I find it contrasts well with a fps.