You said 3, but the best that I can do from that list is 4. There are a few really great games on that that I didn't pick, but I picked what was my favorite ones.
Alan Wake - Is a really great game that has an interesting story that is so underrated by most. I was hoping for another one, but they may not happed because most gamers are so dang picky.
Mass Effect 3 - The entire series of Mass Effect is great as it is one of my favorite game series ever. I just can't wait for more Mass Effect games on these new consoles.
Fallout New Vegas - The Fallout games are so much fun to play as there is so much to do and this game takes awhile to play. New Vegas was a really good Fallout, even though the some of those picky gamers didn't like it.
GTA 5 - Is one of the best games of 2013 and it deserse to be GotY without question. This game is great and it is fun and you will never get tired of playing it, and when it is over you will be like 'Ahh man I was having to much fun, it can't be over already". This game takes awhile to play as well.