I agree regarding the remake of Resident Evil 1 on the GameCube. I'm still shocked (positively
speaking) by how good it looks for today's standards. Also, it plays pretty well even on the GameCube controller with the tiny d-pad. Even though I used the Hori Digital Controller most of the time.
The Perfect Dark remaster on Xbox 360 stays very true to original game. The framerate has taken a big step forward, being now steady instead of the stuttering known on the N64, which helps a lot with aiming and reacting to enemy movements. Still, I'm not 100% confident on the dual analog controls, since I've put more than 100 hours into the original game and am very used to use the C-buttons for strafing and aiming while moving. The remake offers a variety of control schemes, but none of them replicates the original scheme.
I f*cking love Twin Snakes. I see the shortcoming of having no select button and no clicky analog sticks on the GameCube controller, but it is still easy getting used to the controls, answer codec calls and drop uncocked weapons in FPS aiming mode like a pro.
I think you can call Valis 1 on PCE Super CD a remake made very well.
The same I can say about Super Mario All Stars on SNES - even though it is more a port with graphical enhancements, similar to Perfect Dark and those numerous HD remasters/ports on PS3 and PS4, which aren't really remakes in the sense I'm talking about.
I'm not so sure about Super Mario 64 on the Nintendo DS - I haven't played it yet, but I have a hard time thinking about how this game plays with a d-pad only, no analog joystick at hand.
The GoldenEye remake looks shamefully uninspired to me. I've played the demo and had a look at a Youtube longplay, and I can't get me to like it.
Remakes I usually do not care for are those that simply port 2D sprite based games into 3D polygonal environments. They look worse that way and do not play as pixel-perfect like the original ones. There are countless examples of this style out there, and I guess you've all experienced them one way or another.