The original has a much nicer color palette. Everything in the remake is too bright and yellow. Link's tunic in particular stands out way too much, at least in the darker areas of the game.
Everything else looks better in the remake though. Much better textures and polygonal detail.
Edit:

vs

The first one looks so much better, imo. When you get up close, the differences in level of detail start to become very apparent, but I much prefer the art style of the original.







