Please don’t. Super Mario 64 DS is not a good example of a remake. It’s more of a remix, and suffers from the DS’s limited controls. I still regret playing it over he original, something I will rectify whenever I replay it. The multiple characters are a great idea, but the way it’s handled is rather poor. The new stages are cool though.
A better example would be Kirby Super Star Ultra. It faithfully recreates the 7 original subgames while adding 4 new ones, but even then they’re mostly asset flips, and the minigames reuse the SNES sprites, making them look jarringly out of place. I suppose it’s not that great a remake, it’s just a pretty good remake of an already amazing game. Still, it adds substantial content. And gotta give credit where credit is due, Revenge of the King has a bunch of additional minibosses, mainly from Nightmare in Dreamland.