Hoo boy, I'll keep it small considering how large my backlog has grown.
Just completed: Xenoblade Chronicles. Which, by the way, was fantastic (if a little corny at the end)!
Currently Playing: Super Mario Galaxy 2 and Donkey Kong Country (VC)
Going to play: Arc the Lad: Twilight of the Spirits. Been meaning to give this a go for awhile, and just set up my PS2 again, so figured it'll be as good a time as any once I'm through the last two games mentioned (and a large batch of papers for school).

Completed: Assassins Creed 4, BF4, and CoD Ghosts.

I'm going to finish the last two campaigns in Resident Evil 6. I will soon begin Ninja Gaiden 3: Razor's Edge and Fuse.

Games played in the last 12 days.

COD Ghosts (360)
WWE 2K14 (360)
Deadstorm Pirates (PS3)
Dead Space: Extraction (PS3)
Time Crisis 4 (PS3)
Time Crisis Razing Storm (PS3)
Resident Evil Umbrella Chronicles (PS3) & House of The Dead Overkill (PS3)

Been on a bit of a rail shooter mad one recently, really should play them with the move instead of a controller though (too lazy to set up the move thus far)

Completions (campaign, not full 1000/plat)

Castlevania: Mirror of Fate HD (360) & God of War 3 (PS3)

Next games playing..........

Resident Evil The Darkside Chronicles (PS3)

Gran Turismo 5 (PS3)

Yet to be determined 360 game(s)

Currently Playing:
Pokémon Y: 2 of 8 gyms done
Mario Kart 7: Done with 5 of 8 50cc races
League of Legends: Finally got myself to gold this season, intend on going for platinum next season
Lord of the Rings: War in the North: Just started today, but based on what I've seen, am about 10% done

Hoping to be done with Pokémon, Mario Kart & Lord of the Rings in a month.

Will Play:
Whole bunch of backlogged humble bundle games I have

Recently completed

+RAGE (PC)

+Singularity (PC)

Playing

+Civ V (And I don't even have the big DLCs!)

+Serious Sam HD: The First Encounter (PC)

+Assassins Creed 3 (WiiU)

+Resident Evil Revelations (WiiU)

Future games. Unknown, but maybe

+Gears of War 3 (I've just bought it)

+Darksiders 2 (PC)

+Donkey Kong Country (I still haveto buy it, though)

Castlevania: Lords of Shadow
Demon's Souls, 2nd play through

Going to be playing Killzone: Shadow Fall & Battlefield 4... Sooon, so very sooooon.

Currently Playing
Pokemon Y
Sonic Lost World

Near Future
The Legend of Zelda: A Link Between Worlds
Super Mario 3D World

Currently playing:

PS3:
GTA5 - lost interest in online and story but will sink more hours in to complete story
Ni no Kuni - level 15 or so, about 12 hours in. Hard to "pick up and play" and once you get into it you can't put it down!
Dragons Dogma Dark Arisen - 2 hours in, free from P Plus, awesome so far!
Dead Space - Scary! Got for $5 too :D

Vita:
Uncharted Golden Abyss - on chapter 10. Great handheld game but still don't think shooters in general are best on handhelds....
Sine More - awesome pick up and play and was free!
Hotline Miami - this game kicks ass

Recently completed:
Far Cry 3 (ps3) - about a year late but amazing game!! At least a 9 in my opinion. Exploration and story top notch, breath of fresh air game

Will play in future:
Persona 4: Golden - waiting for right time to finally play my first game in series. Can't wait!
Gravity Rush - Seems fun.
FF8 - on vita. Waiting again to start.
Bioshock/dead space 2 - great P Plus sales. Will play after complete Dead Space