Epic zombie games with interesting animation?
How about The Walking Dead
Don't let pictures fool you, there is actually little combat in this game, most of it is talking with people, choosing sides, making choices, and there is an occasional panic scene where you pretty much just press Q over and over again, or if you have a weapon you have to point and aim with it, but they're not as common as you think.
The game is mostly for the story, which I loved btw. There are a few animation errors that are funny looking, and sometimes the game will crash deleting your saves (there are ways to recover them, but it's different every time, I just recommend backing up often), but the story brought an emotional person like myself to tears a few times (by tears, I mean a little choked up), and the last episode (and episode 3) are really good, and really immersive.