I never played Goldeneye on the Nintendo 64. I guess the original was noteworthy for making the controls on a console FPS slighty less sucky. Well, that and the ability to play head-to-head with friends using a postage stamp sized corner of the screen. The Wii refresh of Godeneye improves upon the analog stick controls by using the much more FPS friendly numchuck and Wiimote control scheme that worked so well in the Metroid Prime games. Sure, it's not even close to the precision of a PC mouse and keyboard, but it's perfect for playing while sitting back on the couch.
The game itself is really good. There's a decent amount of variety in game play and the story and cut-scenes kept me pushing forward. I especially liked the stealthier sections of the game. Like everything else about a Wii vs. PC FPS, the stealth seems kinda dumbed down, but, then again—and maybe I'm just cutting the Wii some slack—I didn't mind it at all.
I have tried the split-screen multiplayer too and it's fun too. However, you need more than two people to make it really work.