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Deus Ex, once a year, since almost 10 years ago.

Path of Exile I guess, if going into harder difficulty counts.

Any:

Borderlands, Halo, Gears of war, God of war, gran turismo, forza motorsport, half life, final fantasy, metal gear, grand theft auto, left 4 dead, dungeon defenders and a thousand titles i can't be bothered to mention...

Wizardry 8! Once you finish Wizardry you want to check the different set of characters/abilities. And again, and again, and again. I think it's impossible NOT to start new game immediately after first run.

skyrim

Diablo 2

Hitman series. I've recently bought the HD Collection even though I've played all of the games and have something like 100 hours played in each of them. So much replay value...

Final Fantasy X was like this to me as well. Finished the main quest and the Omega dungeon and started it again. And I'm thinking of playing through it a third time.

Also, I play American McGee's Alice every single year, so I guess that's another title.

hitman series, battlefield series (except bf3!) and cod series (cod5 or lower only!)

In the last 3 years... Binding of Isaac, Torchlight 2, Diablo 3, Uncharted 2, Pixeljunk Shooter, Infamous 1+2.. That's about it I guess

Orcs Must Die! 2, Torchlight 2 and (this one's stupid) Hitman Sniper Chalange :))))

bastion, dragon age origins, mass effect (1), borderlands

Mark of the Ninja. Amazing game.

assassins creed 3 for me going to try and get 100% on ps3

The Max Payne series.

Can't really remember for the most instances, perhaps they're too far in the century past. Then I didn't have time to play for a few years. It changes permanently in some two months, hopefully. Yay!

A couple weeks ago, Rocketbirds. Beaten it once, beaten it again hoarding achievements, beaten it third time in a row for the final two achievements (FEAR THE SPUR! Snicker-snack!) and beaten it for the fourth time on Hard. It's just this kind of a game, a twenty-something hours of fun that earns it's money for the most part. Too bad the network co-op ain't working and the local one requires a frakking heX-BAWKS pad. Then it'd be ten-plus more hours...

Dark Souls for me. It's actually the only game that I've beaten and then immediately started new game+. No matter how much I sucked at it, I always came back for more.

Saints Row and FTL are currently on my go back to list.

Saints Row 3, Mass Effect 3, Darksiders 2, Dishonored (on my 3rd playthrough atm)

Rayman 2, Dishonored, Skyrim, Portal, The Darkness II, Prototype (and probably 2 as well, but I didn't finish it yet).
There have got to be more, but I can't remember atm :P

I don't think I have ever immediately started a new playthrough of a game I just beat. Hell, I rarely ever replay games months after completing them.

Bastion

Studies... 5 more months or studying.
Now on a serious note, Civilization V!

Ummmm guild wars 2!! ^^

Fallout 3