The best Emo video-game will probably my the Devil May Cry reboot. Clearly the creator who self inserted himself in the game is a wannabe hipster that has been inspired by Emo culture. But for now its probably Prince of Persia:Warrior Within.
I guess the best EMO games would be a game that you cry a lot when playing it. Try closing the lights and play fatal frame in a pitch black house during a storm outside. Guaranteed you will cry and be afraid like a scared little kid. Just try it and give me some news !