I like the idea of action/skill based combat but I'm never good enough to have that much fun with it. Singleplayer FPS and games like Torchlight is about it for me. As I get older and time more limited I can't just "get good".
Turn based games let me play at my own pace and I enjoy the strategy/puzzle aspect of it. I played a lot of XCOM Enemy Unknown, and I've had a great time playing Tactical Breach Wizards nowadays, if that counts as turn based. I dunno, I played a lot of Pokemon as a kid so I don't find the concept that weird.