I've already been working on a remake of the game ever since I played the original. I'm a nit-picking little bastard, bite me!
There are problems during play of any game or movie that I can't help but pick up on. Sometimes, when on an anime site, I read posts about how horrible the voice-acting is on some anime in the US. While I can agree a lot of the time, most of them just sound like idiots. They're like sheep, following the crowd yet making arguments that sound ridiculous.
I, on the other hand, really do know what I'm doing. I've been writing since I was 11 living up in sunny and fresh Clear Lake.

As for the remake, if Square makes one before I can submit my suggestions to them, this is what I'd hope was in there.

1. Voice-acting. Vocalization of the in-game dialogue should eliminate all of those DAMNED typos and mistranslations that appeared in the original.
2. There are times when having a literal translation in the subtitles is helpful if not necessary. No typos.
3. Game graphics. Okay, I don't have software for this, so I can't begin to imagine how tough it is to make a decent character (or anything else). I don't have outrageous expectations of the graphics. I really liked the style seen in VIII (though many might disagree).
4. Battles. I'd like the battleground to be a little less bland and repetitive. Each area of the world is different. What do Cloud and the others run all the way back to specific point to fight and then run back? (that's a joke . . . I know, it's not funny)
5. Party. I'd like your two chosen side-liners to follow you around like Donald and Goofy. That is, they're with you, but they don't follow you're precise path. It's always been confusing to see only Cloud as a representation of his group when there's only supposed to be three to show in the first place. I'd also like it if Cloud were not the adamant character. I think many of us have had enough of him.
6. Okay, this is just me. Games like Star Ocean, Shadow Hearts, and Xenosaga all get me riled. In a good way. I'm a reader, I like reading. The detailed information and descriptions given of people, places, events, items and whatever else needs it is alway fun for me. So I'd like there to be more in-game descriptions like for the Items and Limit Breaks. Not just "Damage one opponent." Oh! Don't forget the monsters.