Oh great thread!
Shaun White Snowboarding: Road Trip on the Wii was a totally different game than the PS3/360 version, and I'd argue a better one thanks to a more interesting art style and balance board support.
Prince of Persia the Forgotten Sands and Dead Rising on Wii were also fun, if quite unlike the HD versions.
Quake II on the N64 was basically a whole new games loosely based on the same IP.







