PVS Game: Rambo The Video Game
Dear God, you actually played that? My condolences. Just sayin'
The only one on your list I have played is GTA5, and yeah, the online is pretty fun.
Hmm, I'll pick some for categories you listed that I didn't:
Favorite story: Metal Gear Solid 2
Favorite character: The Boss (MGS3)
Favorite visuals: tie between Child of Light and Alice: Madness Returns
Favorite online/multiplayer: Smash Bros. 4 Wii U