I'd say AAA : from Last of us I got a scenario, characters, very fine art work, acting, stress, and a few times some kind of magic happened. I didn't want to die not because it's painfull to try again but because... I didn't want to die. I felt some kind of connection with the game.
Indie games are mostly focused on having a good idea that makes the game fun or new. Even if it's fresh and has some infinite replay value, I have never felt any deep feeling in any indie game I played.
But what I'd really like to see is more B games. Not the AAA 3 years mega production based on a license that tend to take no risk, nor something I feel I'd could code myself in 3 months and forget after 2 weeks. Something more focused on design, meaning, story. For me that's something we got on playstation 1 (and PC games from the same period), and died with PS360 generation. For me current examples of B game would be sega's valkyria chronicle or Yakuza.
