All of the games listed in this post contain some kind of witty quote pertaining to the game mentioned, as well as an excuse as to why I am playing such a game.
Don't judge me!
BlazBlue: Continuum Shift - RIP Rachel
Well, I've always been a huge fan of Guilty Gear, and I've always considered BB as GG's spiritual successor.
Tekken 6 - EWGF+2 = Win.
I only ever play this game at the arcades now, because no one on XBL with a good connection ever plays this game.
Super Street Fighter IV = Shoryu-Haha, I'm actually using my ultra!
Well, it's easily the most popular fighting game on XBL at the moment, so it's the best I've got when I'm not at an arcade.
King of Fighters XII - NO MAI NO BUY
It was $18. Besides, I thought it was pretty fun...
Super Street Fighter 2 Turbo With All The Bells And Whistles HD Remix And A Cherry On Top - Capcom, you win the 'most upgrades' award.
I'm terrible at it, but at least there's no FADC.
King of Fighters 2002 UM (XBLA) - Nameless is a cheap character that breaks the game! *begins playing Nameless*
Well, it's pretty popular here, so that's gotta count for something.

Marvel vs Capcom 2 (XBLA) - ROCKET PUNCH ROCKET PUNCH ROCKET PUNCH...
Funnily enough, I don't use Sentinel. In fact, my team consists of Ken/Jill/Cable... VIPER BEAM VIPER BEAM VIPER BEAM
Jackie Chan in Fists of Fire - Jackie Chan is the Chinese Chuck Norris.
We've already discussed this. Start playing this game now. It's gdlk.
Animal Kaiser - Animal Fighting Slot Machine Collectible Card Game. Is there even a genre for this game?
An interesting arcade game where you scan a card into the machine and the animal that you scanned in fights for you in 1v1 animal fights. Two slots, one is for attack type, the other is for attack power. The one with the higher attack power does the attack. Think slot machine top trumps where you see the action. Simple, but quite fun.
League of Legends - DotA for people who don't like a hateful community!
I'm IsshunSengeki on there too. I mostly play Sivir, but sometimes you'll catch me playing Twisted Fate.
...
I play way too many games.