Listwars Smackdown! GotY from Wikipedia:
Edge
2005 Resident Evil 4, GC/PS2
2006 FFXII, PS2
2007 SMGalaxy, Wii
Famitsu
2005 RE4, all platforms + Kingdom Hearts 2, PS2
2006 FFXII, PS2 + Pokemon, DS
2007 SMGalaxy, Wii + Monster Hunter 2, PSP
Game Informer
2005 RE4, all platforms
2006 LoZ:Twilight Princess, Wii/GC
2007 Bioshock, PCS360
Game Pro
2005 RE4
2006 Gears of War
2007 COD:MW
Eurogamer
2005 Psychonauts
2006 Guitar Hero
2007 Portal
Lots of others. GotY has mostly been a year or two behind generations. Gears and COD:MW have made a little appearance for the first-year next-gen presence, but by and large last-gen games were more usually the recipient.
A remake winning GotY? A good game is a good game. LoU was the best game on PS3 and so is clearly going to be a great game on PS4. It's also a better version of the same game as was on PS3, making it objectively superior. The only disadvantage is it's up against new titles that can potentially do new things, but new titles tend to be a little weak. LoU represents the pinnacle of last-gen gaming with years of development behind it rather than a rushed launch title. It's certainly possible that LoU is the highest rated game on PS4 for many, and it wouldn't be unfair for it to win GotY. People lamenting the variety of software should probably remind themselves of previous first-year libraries - they tend to be weak, which is why the previous gen gets the GotYs!