Hi, for about 1200 dollars you can get all this. It will run BF4 in high or ultra as well as crysis 3.
PCPartPicker part list:
http://pcpartpicker.com/p/2ZzEx
Price breakdown by merchant: http://pcpartpicker.com/p/2ZzEx/by_merchant/
Benchmarks: http://pcpartpicker.com/p/2ZzEx/benchmarks/
CPU: Intel Core i5-4670K 3.4GHz Quad-Core Processor ($219.99 @ Amazon)
CPU Cooler: Cooler Master Hyper 212 Plus 76.8 CFM Sleeve Bearing CPU Cooler ($29.98 @ SuperBiiz)
Motherboard: Asus Z87-A ATX LGA1150 Motherboard ($129.99 @ NCIX US)
Memory: Kingston 8GB (1 x 8GB) DDR3-1600 Memory ($63.99 @ Amazon)
Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($59.98 @ OutletPC)
Video Card: Asus Radeon R9 280X 3GB Video Card ($328.99 @ Staples)
Power Supply: Corsair Builder 600W 80+ Bronze Certified ATX Power Supply ($54.99 @ Microcenter)
Total: $887.91
(Prices include shipping, taxes, and discounts when available.)
(Generated by PCPartPicker 2014-02-24 21:51 EST-0500)
This doesn't include the monitor + mouse and stuff If you already have those you can get a bit better GPU and whatnot. Hope this helps!