I bought a Toshiba Qosmio for that much two years ago and I can still run all the lastest games. So I'd tell you to go for a Qosmio. The newer versions of my laptop have even more power for the money and the built in sounds is a great as well.
http://www.newegg.com/product/product.aspx?Item=N82E16834114797
That's just under your price limit and should run anything you'd want to play.
Edit: You don't need something as extravagant erm...I'll look for something minus the Blu-Ray with a lower res screen. Here you go. It has slower processor, no blu-ray drive, and a less than 1080p (1680x945) display.
http://www.newegg.com/product/product.aspx?Item=N82E16834114796








