That would be an adventure game, or a movie
They did it in PnP, games like FUDGE and Amber for example. They end up as free-form storytelling as much as games, I suppose it's fun if you dig that kind of thing. Haven't a clue how you'd integrate that into a 'puter game though.
Since gaming Year Zero there's been two ends of the RPG spectrum - wargamers and role-players, most live happily in the middle. Me and Maria probably dwell towards either end of those ends (as I've said before). As for groupthink? Look at this thread, there is a healthy divergence of opinion.
For Maria's revolutionary free-form non-combat RPG (I think there's probably room for it in the indie end of the market) I'd obviously swap it out for a crunchy turn-based pure tactics game on hexes (I think there's probably room for it in the indie end of the market). I'm OD&D and Maria is 4E I suppose.
I wouldn't call my worst enemy 4e
I know of the free-form storytelling PnP RPGs. But I think that having a solid framework of rules to deal with conflicts can sometimes help the roleplaying. The rules just have to be general enough to allow a lot of freedom.
I'm sure there are some video games where you just walk around and talk to people, but I don't know any specifically. I guess it would be like Myst, but with dialogue options?
@Boo: I believe you, but that's no need to call them emos and make weird sexist comments.