You aren't going to get many recommendations for a pre-built gaming setup. The one below, for example, is in your price range, but includes a lot of low end parts. The Pentium CPU and GT 740 would allow you to game on low / medium settings, but the platform offers little upgrade path and questionable reliability. Drives, memory are typically the cheapest thing they can find as is the power supply (note the 250w unit and no-name hard drive). Are you sure you aren't open to building the PC yourself?
If I were to condone a pre-built, take the one below and upgrade the CPU to the i3-4160, graphics to the R9 270x, and power supply to the XFX 550w unit.
http://www.cyberpowerpc.com/system/CyberPower_B85_Configurator/