Most recently The Witcher 2. Think Game of Thrones mixed with Dragon Age: Origins. I know the combat could be described as weak - I mainly rolled around spamming fireballs and bombs - but honestly I enjoyed the action-based formula. I was playing the game for the story anyway. I'm a sucker for this kind of low fantasy, political intrigue fare. Didn't mean to finish it so quickly, and now I have to wait till May for what will probably be my GOTY (in a year filled with games I'm looking forward to).
I don't want to start DA: Inquisition because I know I'll love it, and am saving it up for a dry period (maybe this July/August).
Also, the first Phoenix Wright game. I had no idea I would enjoy the humour or cases so much - I'm not really into detective shows, but this game was truly enthralling. I haven't touched the remainder of the series yet, because I need something to look forward to in terms of visual novels on handhelds - there aren't enough!
And I know everyone mentions much Persona 4: Golden, but I was happy to eventually finish it. Almost relieved in fact, after such an epic adventure. I think the dungeons were very tired after the first few, which is the main reason I haven't played P3P yet. Everything else about the game I adored, especially the social links.
People also mention Dark Souls. I'm about to make another attempt to get going with that one. It's just so overwhelming that I don't know where to start. I don't want to mess my stats up, and this is the main reason I keep avoiding a playthrough. That and I generally prefer story-based games, but after The Witcher 2 I feel like I need a departure. Plus I have tried Yakuza 3 and I'm really not feeling it (the sub-quests are horrible, and I was only enjoying the combat).