Without reading everyone's posts too closely, I'm going to say this: the graphics don't matter. Everyone seems to be in agreement on this.
What does matter, at least to me, is gameplay and, on a different level, hype. For example, I cannot play Final Fantasy VI. I've played the more recent ones (X, XII, XIII) and enjoyed them, and also played (and enjoyed) VII and the DS remake of IV. So I should be able to handle #6 right? Nope.
I don't know if it's that I'm used to the faster pace of the more recent games or what, but I simply cannot get involved in it. It's not hard, just dull, and the story that everyone seems to love is nothing I haven't seen a million times before. So I have to judge this almost-universally-acclaimed game on my experience with it, which is influenced by my later experiences--and my judgement is a resounding "meh". (It's interesting that I feel this way even though I liked the older IV, although it, being a DS remake, had better graphics and sound and smoother stuff overall)
So is my opinion of VI invalid just because I'm not playing it in the time period in which it released? I can see both sides, honestly.