A clever hacker seems to have Goldeneye running on the Wii via the virtual console engine.
The game seems to run via a cleverly modded Virtual Console emulator that's used to run Nintendo 64 games downloaded from the Wii shop channel. Despite some glitches and the lack of a save function, it seems like an interesting step to seeing the much loved shooter on the Wii. Multiplayeer seems to run also, albeit a few slowdowns at times.
Thanks to GoNintendo for the tip.