My predictions:
1. The Last of Us - The support of Vinny, Patrick and Drew (important, as this is one of the few GOTY candidates he played I believe), plus the newfound ally of Brad Shoefilibuster will get TLOU past Jeff. While Jeff stopped The Walking Dead from winning last year, this time there isn't a clear 'second winner' like there was in XCOM. Plus, Jeff has no favorite of his own to push for GOTY and may just be okay with any winner.
2. The Legend of Zelda: A Link Between Worlds - Everyone liked it a whole lot.
3. GTA V - Everyone seems kind of cold on it, but I think they will still give it a high spot for its atmosphere/worldbuilding, technical impressiveness and the 'it's the big game of 2013' factor (see: Skyrim).
4. Assassin's Creed IV: Black Flag
5. Rogue Legacy - This will probably be the game Jeff pulls the most for.
6. Super Mario 3D World
7. Brothers - I suspect Brad may have grown to dislike Brothers a little due to the constant '10 better games' jokes, and might not fight as hard for it as he otherwise would have.
8. Bioshock Infinite
9. The Swapper - Patrick will fight tooth and nail for this, and won't settle for a #10 spot either.
10. Saint's Row IV
EDIT: forgot about Rogue Legacy. Also, it feels weird saying 'this will happen' when it actually already happened.
EDIT 2: shuffled some stuff around, this should be it.
It's kind of depressing the only game on that list I got around to playing was GTA V, and I didn't even really like it.