If you love PC games or have that as your option: Get Steam if you don't already. You can knock out what you do and don't like by reviews, and the sales are on weekly (I recently tried a game just because it was 80% off and gave me 2 extra codes to give to friends to play online with as well). In addition, they often have free to play weekends, where you can play a full game for free until Monday, which is not only helpful in picking your games but great if you're looking for something to pick up and put down. Finally, look on Humble Bundle for game specials so you can have a handful to play through.
Personally, I'm still playing Civilization because I'm a control freak and I love strategy. Hope that helps!