I just can't do it. Arranging a list of games in the order of my favourites. So what I'll do is give you my favourite game of all time, and then a list of games that I love. (not necessarly my nine other favourite games)
#1 Corpse Party - This IS my favourite game of all time. In fact, I don't consider the Corpse Party franchise "games", but experiences. The story was fantastic, the characters were great and lovable, the atmosphere was incredible. I truly cannot describe why I love this game, there aren't enough words in the alphabet.
Other Games I love
Uncharted 2 & 3 - If I had to pick my favourite, I'd probably pick Uncharted 2, but it doesn't change the fact that both games are truly incredible.
PlayStation All-Stars Battle Royale - My favourite fighting game/brawler of all time. The idea of having all my favourite PlayStation charatcters in a Super Smash Bros like games was a dream come true. Although I admit the only reason I love it as much as I do is because of the friends I have to play it with. (as well as the memories)
Batman Arkham Knight - Very recent game, but I think it's the greatest Batman game to date.
Sly 2: Band of Thieves - Although I do think Sly 3 is the better game (better levels, fresh story, more characters) I have much more memories with Sly 2, that and it was one of the games that got me into gaming when I was a kid.