That's what we all usually want when we're talking remakes. I mean, it's a game that we already love, so we don't want the core of the game to change. We just want it to look prettier, to sound better, to be exponentially more awesome.
Of course, we all know (especially here) that graphics aren't everything. But I do think there's room for remakes. Sometimes we want to play our favorites in a substantially more engrossing form, graphically speaking. Heck, I finished Ocarina on 3DS not too long ago, and the whole experience was better than I remember it being the first time through. Some games just benefit from the additional technology, I suppose.
That begs the question: What are some games that were remade and improved not just on the graphical front, but to address serious, glaring flaws in the gameplay the first time around?