I guess in terms of the style, I miss games like Ratchet and Clank, Daxter (That Jak and Daxter series with the squirrel looking creature and the people with huge ears) and Crash Bandicoot. Essentially any of those third person adventure type games with a nice story, cute little graphics and wonderful characters from other worlds. They were such magical games and they were vastly different to the generic rehashed stuff we get today. If they could bring back that type of game, I'd be a very happy person.
I could just imagine the hype the games would get, I mean, its not like nobody would buy them. Crash Bandicoot and Ratchet & Clank are cult classics and the nostalgia they would bring if redone correctly would be wonderful.