As a disclaimer I encourage you to go away and research this first, as in clearances for the cooler and the case you have chosen but I give you this build as a very quick example:
PCPartPicker part list:
http://pcpartpicker.com/p/qThRyc
Price breakdown by merchant: http://pcpartpicker.com/p/qThRyc/by_merchant/
CPU: AMD Athlon X4 860K 3.7GHz Quad-Core Processor ($73.78 @ OutletPC)
CPU Cooler: Cooler Master Hyper TX3 54.8 CFM Sleeve Bearing CPU Cooler ($17.99 @ SuperBiiz)
Motherboard: MSI A88XM-E45 Micro ATX FM2+ Motherboard ($71.89 @ OutletPC)
Memory: G.Skill Ripjaws Series 8GB (2 x 4GB) DDR3-1600 Memory ($54.99 @ Newegg)
Storage: Seagate Barracuda 1TB 3.5" 7200RPM Internal Hard Drive ($47.89 @ OutletPC)
Video Card: Sapphire Radeon R7 265 2GB Video Card ($129.99 @ Micro Center)
Case: Cougar Spike MicroATX Mini Tower Case ($29.99 @ Mwave)
Power Supply: EVGA 500W 80+ Certified ATX Power Supply ($23.99 @ NCIX US)
Wireless Network Adapter: Rosewill RNX-N150UBE 802.11b/g/n USB 2.0 Wi-Fi Adapter ($11.98 @ OutletPC)
Total: $462.49
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2015-02-22 21:32 EST-0500
This is taking your build and changing a few key things, I'll explain why. The 860k is generally a more efficient processor providing the same performance as the 760k so I would stick with that. With AMD you NEED a custom cooler, the ones that come as stock are at best noisy and inefficient at worst they will not cool the processor adequately even at stock speeds. You need to factor one of these into your budget. As for GPU if you are on a budget stick with AMD, the 750Ti is a great card but more for its power to punch ratio. The R9 270x is the sweet spot for 1080p 60hz gaming but on a budget the R7 260x's and the R7 265 are really corkers for the money. I have that particular card on a spare machine and for the money it's a superb card. Then the motherboard... AMD don't do microATX great, they leave out a particularly important thing called VRM heatsinks. Now on Intel, that's not as a big a problem IMO... on AMD to my mind it's a design flaw. The board I have selected is the cheapest board with VRM heatsinks and really you want the A88x chipset to allow you to get the most from the Athlon.