Because I was curious, I went to the website Gamerankings and looked up the top rated game remakes of all time, based on games with 10+ reviews. Now, it's hard to define a remake as opposed to a port or HD version or whatever, but I think these results are interesting nonetheless.

1. Persona 4 Golden (Vita) - 94.16%
2. The Legend of Zelda: Ocarina of Time 3D (3DS) - 93.96%
3. Super Mario Advance 4 (GBA) - 92.25%
4. The Legend of Zelda: Link's Awakening DX (GBC) - 91.21%
5. The Legend of Zelda: The Wind Waker HD (Wii U) - 91.02%
6. Shin Megami Tensei: Persona 3 Portable (PSP) - 90.77%
7. Metroid: Zero Mission (GBA) - 89.89%
8. Resident Evil (GC) - 89.75%
9. Super Street Fighter II Turbo HD Remix (360) - 88.79%
10. Tactics Ogre: Let Us Cling Together (PSP) - 88.41%
11. Final Fantasy Tactics: The War of the Lions (PSP) - 88.26%

Games like Super Mario World for the GBA and Chrono Trigger for the DS are not counted because I felt like there wasn't enough of a difference from the original games.

Anyhow, let's look at these results.

• It is obvious that handhelds are the natural home of the game remake. 8 out of 11 games mentioned above are handheld games
• Zelda games make for great remakes, with 3 of the top 5 games being Zelda titles, including the just released Wind Waker HD.
•  Many remakes are of RPG's, with 4 of the 11 fitting in this genre. Action-Adventure follows it up, but only thanks to Zelda's strong prescence.
•  There are 6 remakes on Nintendo platforms, 4 on Sony handhelds, and one on the 360.
• Although some remakes are made fairly quickly, like Persona 3 and 4, others, like Metroid, are made well over a decade after the original.
• Half of these titles are first party Nintendo games, while there are no Sony or Microsoft first party games on this list.
• The Vita remake of Persona 4 scored better than the PS2 original, as did the PSP versions of Persona 3 and Final Fantasy Tactics and the GameCube version of Resident Evil. 

Any thoughts?

No suprise P4G is #1 and Zelda is #2 since many consider those 2 games the greatest of all time or at least the greatest of their genre. Still makes me happy seeing P4G #1 since its a game very dear to my heart.

Where the hell is Resident Evil GC?

i'm confused Halo Combat Evolved didn't make the top ten. That's one of the greatest games ever made along with one of the greatest graphical upgrades.

Twin Snakes just missed the cut :(

Zero Mission is a great game...definitely deserves its spot on that list.

...how did I mis that? I'll throw that in!

The original Metroid for the NES. But it is a very dramatic remake, as playing the two side by side will tell you. Especially Zero Mission's ending...

The 2011 remake only got pretty good reviews of around 82% though.

Nice list with a lot of the originals being great games.

Every platform apart from the Playstation Vita: Remake

Playstation Vita: Port