Well if you have a buffer to do the purchases, something like this would work.
PCPartPicker part list:
http://pcpartpicker.com/p/t9Z799
Price breakdown by merchant: http://pcpartpicker.com/p/t9Z799/by_merchant/
CPU: AMD Athlon X4 860K 3.7GHz Quad-Core Processor ($74.89 @ OutletPC)
Motherboard: Asus A88XM-A Micro ATX FM2+ Motherboard ($57.98 @ Newegg)
Memory: G.Skill Ares Series 8GB (2 x 4GB) DDR3-1600 Memory ($57.99 @ Newegg)
Video Card: Sapphire Radeon R7 260X 2GB Video Card ($89.99 @ Newegg)
Case: Antec GX500 ILLUSION ATX Mid Tower Case ($44.99 @ Newegg)
Power Supply: EVGA SuperNOVA NEX 650W 80+ Gold Certified Fully-Modular ATX Power Supply ($54.99 @ NCIX US)
Operating System: Microsoft Windows 8.1 (OEM) (64-bit) ($89.75 @ OutletPC)
Total: $470.58
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2015-02-16 17:59 EST-0500
However, this fits your budget and you can do something with the integrated graphics.
PCPartPicker part list:
http://pcpartpicker.com/p/tVPTqs
Price breakdown by merchant: http://pcpartpicker.com/p/tVPTqs/by_merchant/
CPU: AMD A6-6400K 3.9GHz Dual-Core Processor ($46.99 @ NCIX US)
Motherboard: Asus A88XM-A Micro ATX FM2+ Motherboard ($57.98 @ Newegg)
Memory: G.Skill Ares Series 8GB (2 x 4GB) DDR3-1600 Memory ($57.99 @ Newegg)
Case: Antec GX500 ILLUSION ATX Mid Tower Case ($44.99 @ Newegg)
Power Supply: EVGA SuperNOVA NEX 650W 80+ Gold Certified Fully-Modular ATX Power Supply ($54.99 @ NCIX US)
Operating System: Microsoft Windows 8.1 (OEM) (64-bit) ($89.75 @ OutletPC)
Total: $352.69
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2015-02-16 18:01 EST-0500
Overall though the X4 860k and a reasonable GPU like the R7 260X is a much better alternative.
You don't really even need to upgrade for a bit, it should run games quite nicely.
All in all worth looking into.
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