Right first of all in the case do you have a
*Dvd Drive?
*Hard Drive?
Second of all whats it gonna be used for?
Also with that price range your gonna have to go AMD, intel may be just be too expensive.
Anyway herer are a few options for you.
Option one - Better CPU than below, onboard GFX, with a new PSU+hard drive.
Option two - Not as good on the CPU end, not the worse tho, no hard drive or PSU but at least a dedicated GFX card if your PSU can handle it.
Option three - Using intel i3, much better CPU than both builds above, better GFX than onboard in the first build, same ram and still a PSU so you can upgrade GFX later down the line if you want/need to.
Thats what i can come up with quickly for you, all kinda withing your budget... personally i would go for the i3 build, throw an extra 100 at it and get a decent GFX card if your gonna be playing games.. but if you are just looking to get by in games then depending on what your needing, the AMD system with the GFX should be able to play most games but not on max settings.. maybe medium at a push. The first AMD setup will prolly only be able to play games on low settings.