Lets not wait for the Wii's successor which will 'only' be able to upscale to 1080p (at best). Gekko, an up and coming GameCube emulator, is already going in game with some classic GC games and outputting crisp graphics while it's at it.
More can be found at Gekko's insider forums (Twilight Princess included).
Earlier Gekko media released (months ago, from when Gekko did not support high resolution graphics):
(The framerate is slightly lower than what you would encounter in real life given there is a recording overhead)