Final Fantasy 6 is by leaps and bounds my favorite of the Final Fantasy, and easily ranks among my favorites in the RPG genre as a whole. That said... I kinda don't wanna see it remade. While I had fun with the FF4 remake for DS, I honestly can't think of any way in which they could improve upon FF6. The music was fantastic, the graphics are about as good as they could get, the battles were fun, the Magic/Skill system worked well, 14 of the 16 playable characters got an amazing amount of story development (Umaro and Gogo don't really count though). There just isn't a single thing they can fix, and I would argue that a 3D remake would only feel like a step back since it would be using very blocky-looking characters.
The only thing they could really do with a FF6 re-release that I would want to see is giving us a "Final Fantasy 6 Complete", as it's my understanding that a number of story bits were cut and/or compressed because they were running out of space on the SNES cart. Other than that, I wouldn't want to see a single thing changed. Same graphics, same music, same everything, but the full story included. I'd put $30 down for that any day.
(( As a note for how much of a stickler for detail I can be: I absolutely loathed the GBA port of FF6 because it had reduced music quality, and I can't stand the PSX port because of atrocious load times... and I think it also had reduced music quality. So to this day, I still play the SNES version when I want an FF6 fix. ))