In terms of story, I think Transistor is the only thing that comes to mind as being quite strong; however, one has to play through the game more than once and really fight to understand what's going on there--something I enjoyed but I'm not sure the guys will mention. In terms of games with interesting story bits that most of the crew has probably played, this is probably it.
In terms of games they didn't play? Lightning Returns has a very interesting world and some great characterization (which is actually made stronger by the insanity of that series' twisted narrative from game to game), but the actual plot is pretty standard--heroine saves the world. I think Drakengard 3 has some fantastic ideas (which it admittedly could have done a bit more with) and characters, but I'm sure NO ONE on the staff even played ten minutes of it.