GoldenEye with the 360 controller or even the classic controller wouldn't be the same. The game works best with the N64 controller, considering you use the C buttons to strafe and point up or down. Current shooters like Halo using dual sticks control differently.
Go play Timesplitters and choose radical B in the controls options, which is the old GE/PD controls, it just feels wierd.
The best way to play this classic will always be to break out the N64 and plug it into an old CRT TV!