if you want to play games with integrated gfx, get an amd a8 3850 or new 3870k apu. those have far superior igp than intel's hd 2000/3000.
if you want to play games with intel processor, get a discreet gfx card. cheap cards start from radeon hd 6670 to higher end nvidia gtx 560 ti to even higher radeon hd 6950 or nvidia gtx 570.
here's from intel's website - list of 'playable' games on hd 2000/3000:
This information is provided solely as a convenience for customers. The list is not intended to be complete or all-inclusive, and is subject to change or revision without notice.
Individual game experience may vary depending on the game application version and computer configuration.