The Walking Dead S1 was great. The illusion of influence where the plot and structure is concerned may be lost on a second run, but I kinda believe they're best suited to just one playthrough anyway.
What made it so special was, I think, the combination of the setting, and the dialogue time limit. The former exploited the post-apocalyptic scenario expertly, making it about how individuals and communities go on in a world without enforced ethical and moral codes; with no 'civilised' structure, ethics and morality are determined per individual (relative to group dynamics), and per circumstance.
Most games only deal with the superficial genre tropes of post-fall worlds, but TWD S1 was all about the psychological and ethical reshaping that occurs in extreme situations. It explored the idea that ethics and morality are, essentially, nothing more than functions of social necessity; abstractions we conform to because the 'civilised' world requires stability, ergo consequences for behaviour deemed unproductive or destabilising.
TWD S1 is a world in transition, of people born into societies with codes, and whose cultural programming no longer suits the increasingly chaotic environments they find themselves in.
...sooo, yeah. That side of it was phenomenal. And through the dialogue limit device, it allowed for another major element that so few games acknowledge or feature: well intentioned mistakes, and the guilt that may arise from them. As Lee, I generally tried to stick to the previous ethical and moral codes, but that would often cause rifts in the group, or endanger individuals I cared about. I kept trying to do the 'right' thing - in a world that no longer functioned or enforced such an idea. Bad shit happened because I made calls - well intentioned - on the spur of the moment. And the player must (almost always) face the emotional and psychological consequences of their choices and value system.
And that? That's something which is extraordinarily rare in gaming. And that sense of guilt tied to personal ethics and quick responses is also something no other medium can do. So for me, TWD S1 is one of the finest examples of interactive media I've ever experienced.
Only bought and played Wolf Among Us ep1, so far, and whilst it's decent I can't relate to it in the same way as TWD. Not started TWD S2 yet, because, frankly, I doubt anything they ever write again will move me as much as the end of S1. Also, I dislike the extended waits between episodes - they're just too long relative to how short each episode is. I'll play through it when the whole series is almost out.
id say multiplayer versus other humans are one of few exceptions to this since you'r not "playing the game" but rather "playing the human" with the game only being the medium you use to play one another (in essence no different from everyday human interaction (where verbal or body language would be the medium))
