As HoF said, make your own game. Remaking a game means you have to follow someone elses story, someone elses characters, someone elses maps, etc. To make a game, you shouldn't be restricted by rules, let your ideas come to life instead of another guys.
If you do remake a game, remake the game but keep the storyline. It would be intresting to see an Oot with all new areas and temples, maybe the same areas but totally re-orginized. (Enemies in different places, keys and chests have harder puzzles, etc)