$500-$600 gaming pc

PCPartPicker part list / Price breakdown by merchant

Type Item Price
CPU Intel Core i5-4460 3.2GHz Quad-Core Processor $166.95 @ SuperBiiz
Motherboard MSI H81M-P33 Micro ATX LGA1150 Motherboard $41.98 @ Newegg
Memory Corsair Vengeance 8GB (2 x 4GB) DDR3-1600 Memory $48.99 @ Newegg
Storage Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive $47.99 @ Best Buy
Video Card Sapphire Radeon R7 260X 2GB Video Card $98.98 @ Newegg
Case NZXT S340 (Black) ATX Mid Tower Case $62.99 @ SuperBiiz
Power Supply Corsair CX 500W 80+ Bronze Certified Semi-Modular ATX Power Supply $46.98 @ Newegg
Wireless Network Adapter Asus PCE-N10 802.11b/g/n PCI-Express x1 Wi-Fi Adapter $8.99 @ SuperBiiz
Prices include shipping, taxes, rebates, and discounts
Total (before mail-in rebates) $573.85
Mail-in rebates -$50.00
Total $523.85
Generated by PCPartPicker 2015-06-26 19:29 EDT-0400

Here you go. The GPU will get you great performance in the games you mentioned and will be on par with the PS4 in modern games.

/r/buildapcforme Thread