Mostly all the games, with reduced settings, except the super power hungry ones like - Metro 2033, Crysis, Battlefield, the new Assassins Creeds etc. those will probably struggle at the lowest settings and resolutions. But the less demanding ones like Skyrim and Starcraft 2 should run fine with low resolution(Like 720p or sometimes lower) and medium graphics.
With worse GPU- 9400gt and a loooot worse CPU - AMD athlon x2 64 dual core 3800+ I could play older games like Oblivion and Burnout paradise on high settings and 1680x1050p resolution. I got Skyrim only because I was a real fan of TES games, and I took the risk of hoping that it would run on my pc, and it did - 1280x720p and lowest settings. 😀 So you're not all that doomed with your pc.