1st, I made a mistake. Player's Choice was/is used on SNES/N64/GC/Wii games. For the NES, Nintendo used "Classic Series" for re-releases.
2nd, as I understand, most of the Classic Series re-releases are rarer than their original counterparts. Prices seem to favor the originals though, especially with Zelda/Zelda II, which I imagine is because of the lack of gold paint on the re-release :/