[Build Complete] Posted hypothetical build a few months ago. Here's some info as well as component choices. *BUDGET AMD @ around $650.

PCPartPicker part list / Price breakdown by merchant

Type Item Price
CPU Intel Core i3-6100 3.7GHz Dual-Core Processor $124.99 @ SuperBiiz
Motherboard ASRock B150 PRO4/D3 ATX LGA1151 Motherboard $74.98 @ Newegg
Memory G.Skill Ripjaws Series 8GB (2 x 4GB) DDR3-1600 Memory $29.99 @ Newegg
Storage Seagate Barracuda 2TB 3.5" 7200RPM Internal Hard Drive $65.88 @ OutletPC
Video Card Sapphire Radeon R9 380 4GB NITRO Dual-X OC Video Card $179.99 @ Newegg
Case NZXT Source 210 (Black) ATX Mid Tower Case $29.99 @ Newegg
Power Supply EVGA 600B 600W 80+ Bronze Certified ATX Power Supply $34.99 @ Newegg
Optical Drive Asus DRW-24B1ST/BLK/B/AS DVD/CD Writer $17.78 @ OutletPC
Operating System Microsoft Windows 10 Home OEM (64-bit) $87.95 @ OutletPC
Prices include shipping, taxes, rebates, and discounts
Total (before mail-in rebates) $691.54
Mail-in rebates -$45.00
Total $646.54
Generated by PCPartPicker 2016-01-31 13:47 EST-0500

Went with a skylake i3, much better single core performance, and will be better for most games. Slightly faster hard drive; 7200 rpm vs 5900. Better 380 for less money. This build comes around 35 dollars under yours, which you could spend on some useful but not necessary improvements; you could get a 380x, a better PSU or a better case.

/r/buildapc Thread