Although you want to play BF4 and CS:GO, there is no harm in getting a better build specially if it's in your budget.
You can always play newer games, if you change your mind.
PCPartPicker part list:
http://pcpartpicker.com/p/P8cTyc
Price breakdown by merchant: http://pcpartpicker.com/p/P8cTyc/by_merchant/
CPU: Intel Core i7-6700 3.4GHz Quad-Core Processor ($311.99 @ NCIX US)
Motherboard: Asus B150M-A D3 Micro ATX LGA1151 Motherboard ($79.99 @ Amazon)
Memory: Kingston HyperX Fury Black 8GB (2 x 4GB) DDR3-1600 Memory ($42.99 @ SuperBiiz)
Storage: Samsung 850 EVO-Series 500GB 2.5" Solid State Drive ($172.49 @ OutletPC)
Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($49.88 @ OutletPC)
Video Card: Asus Radeon R9 390X 8GB Video Card ($399.99 @ Amazon)
Case: Silverstone PS08B (Black) MicroATX Mid Tower Case ($35.99 @ SuperBiiz)
Power Supply: XFX TS 650W 80+ Gold Certified ATX Power Supply ($74.99 @ Newegg)
Operating System: Microsoft Windows 10 Home OEM (64-bit) ($93.75 @ OutletPC)
Total: $1262.06
Prices include shipping, taxes, and discounts when available