Around $500 gaming pc build

Solution
It's a good build.

But personally I would opt for Skylake i3 here. You leave yourself an upgrade path.

PCPartPicker part list / Price breakdown by merchant

CPU: Intel Core i3-6100 3.7GHz Dual-Core Processor ($130.00 @ Amazon)
Motherboard: Gigabyte GA-H110M-S2H GSM Micro ATX LGA1151 Motherboard ($62.99 @ SuperBiiz)
Memory: G.Skill NT Series 8GB (2 x 4GB) DDR4-2400 Memory ($43.99 @ Newegg)
Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($49.98 @ OutletPC)
Video Card: Zotac GeForce GTX 960 4GB Video Card ($199.99 @ Amazon)
Case: NZXT Source 210 Elite (Black) ATX Mid Tower Case ($44.99 @ SuperBiiz)...
It's a good build.

But personally I would opt for Skylake i3 here. You leave yourself an upgrade path.

PCPartPicker part list / Price breakdown by merchant

CPU: Intel Core i3-6100 3.7GHz Dual-Core Processor ($130.00 @ Amazon)
Motherboard: Gigabyte GA-H110M-S2H GSM Micro ATX LGA1151 Motherboard ($62.99 @ SuperBiiz)
Memory: G.Skill NT Series 8GB (2 x 4GB) DDR4-2400 Memory ($43.99 @ Newegg)
Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($49.98 @ OutletPC)
Video Card: Zotac GeForce GTX 960 4GB Video Card ($199.99 @ Amazon)
Case: NZXT Source 210 Elite (Black) ATX Mid Tower Case ($44.99 @ SuperBiiz)
Power Supply: XFX 550W 80+ Bronze Certified ATX Power Supply ($55.99 @ SuperBiiz)
Total: $587.93
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2015-12-18 19:47 EST-0500
 
Solution
your build isn't $500....

PCPartPicker part list / Price breakdown by merchant

CPU: Intel Core i5-4460 3.2GHz Quad-Core Processor ($174.99 @ SuperBiiz)
Motherboard: Gigabyte GA-B85M-GAMING 3 Micro ATX LGA1150 Motherboard ($57.75 @ OutletPC)
Memory: G.Skill Ripjaws X Series 8GB (2 x 4GB) DDR3-1600 Memory ($29.99 @ Newegg)
Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($49.98 @ OutletPC)
Video Card: EVGA GeForce GTX 960 4GB Superclocked Video Card ($199.99 @ NCIX US)
Case: NZXT Source 210 (Black) ATX Mid Tower Case ($36.99 @ SuperBiiz)
Power Supply: Antec 450W ATX Power Supply ($32.99 @ SuperBiiz)
Total: $582.68
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2015-12-18 23:09 EST-0500