If you have Steam, or a WII, a wonderful game is Phantom Brave. It's easy to play, but with a lot of depth, and the story is heart-warming. I like games where, no matter how bad you are, you can grind yourself up to a point where you can win rather than being stuck forever at one point. Phantom Brave allows this, and the grinding is pretty fun as well, since it's give you randomly-generated dungeons rather than the same one over and over.
If you like something with a little more dark humour, the same company makes the Disgaea series, which is about the funniest series I've ever played. Prinnies for the win!