These productions are so popular these days, that it's a legitimate question.
Of course, on the surface, the answer to the question should be a huge, resounding "No." After all, we're talking about games that already launched years earlier; hence, they don't qualify for any sort of "game of the year" honors, right?
The title(s) isn't of this year, for example. So, literally, it doesn't make much sense. At the same time, what if we're only concerned with giving out awards to the year's best games, regardless of whether or not they were available previously? I mean, with The Witcher 3: Wild Hunt pushed into 2015, I think there's a darn good chance that the Final Fantasy X/X-2 HD Remaster may be the best role-playing video game of 2013. Yes, the games came out a long time ago but if they're still better than other games in that genre, shouldn't they be recognized as such?
And what about The Last Of Us: Remastered and Tomb Raider: Definitive Edition ? Not only are both fantastic games, but both do offer more than the original release. So, we're looking at even better versions of these already amazing titles. Let's face it: What this year will really be superior to The Last Of Us ? It could happen, I suppose, but I'm not holding my breath.
I'm just asking this question for discussion purposes, by the way. I don't believe that any HD remake or remaster of any kind should be considered for annual awards. 🙂