Not sure which one is really better - the original has a very different color palette. The sprites are probably nicer on the remake, although I think the character portraits in the original are superior. The remake does have a number of gameplay improvements.
Another interesting example is FF6 Advance. The original GBA had a screen that wasn't backlit, and would be hard to see darker colours in, particularly if played outside or near a window etc. So many games (FF6) included, compensated for this by using a brighter colour palette across the board than NES/SNES/etc versions.
Of course, once you play that version on a emulator on a modern LCD (or even on the backlit GBA SP), the colours end up being too bright, to the point that there is a fanmade patch for FF6 advance to bring back the SNES colour palette:
Some comparisons:
Original: https://www.youtube.com/watch?v=pewTGCkt4qE Remake: https://www.youtube.com/watch?v=3uVuOd4Aiag
Not sure which one is really better - the original has a very different color palette. The sprites are probably nicer on the remake, although I think the character portraits in the original are superior. The remake does have a number of gameplay improvements.