I mashed some videos from IGN and put them into one video showing a side by side comparison:
Metroid Prime Wii remake that’s hit Japan this month feels like a brand new game indeed. New Play Controls: Metroid Prime takes everything that was in the GameCube original and brings in many of the elements that Retro Studios applied to Metroid Prime 3 for the Wii. This means full Wii Remote and Nunchuk functionality as well as widescreen support.
The GameCube version I played was from the US, while Metroid Prime Wii is currently only available in Japan. So the obvious first difference between the two editions in the footage is the language.