I personally would, and have actually been thinking about it for a good while now. I know some probably don't like the idea; it's kind of like the PS2 games being put in HD this gen, though to a certain extent less updated since it's already HD. I would just love to play some games with updated visuals, and some with fixed gameplay as well, like Mass Effect.
I want to see on next-gen consoles the Mass Effect trilogy, but all of them look and play the same, consistently so it's not a jarring experience throughout, and it'd be as if you're playing one large game instead of three different games. It'd also be nice to play a game like Red Dead Redemption at 60 frames per second, with the best anti-aliasing, draw distance and lack of, or faster load times (as an example).
I just beat the Last of Us, and for this gen, it's near perfect looking, depending on how you want to look at it, it could be 'perfect', but I find that since it can drop in frame rate in some instances and the anti-aliasing is less than perfect, it benefiting on the PS4 ever so slightly would be a plus to me. I actually find very little problem with it really, but I'm just saying it is something I noticed that could be fixed on next-gen, and make the experience that more immersive.
What about you guys and girls?