this will be the best u can do with ur budget. shadowplay is imo just amazing. if ur inet is sufficient u will have no problem playing and streaming ur requested games on ultra/high.
PCPartPicker part list / Price breakdown by merchant / Benchmarks
CPU: Intel Core i5-4670K 3.4GHz Quad-Core Processor ($219.99 @ NCIX US)
CPU Cooler: Cooler Master Hyper 212 EVO 82.9 CFM Sleeve Bearing CPU Cooler ($29.98 @ OutletPC)
Motherboard: MSI Z87-G41 PC Mate ATX LGA1150 Motherboard ($89.99 @ Microcenter)
Memory: G.Skill Ripjaws X Series 8GB (2 x 4GB) DDR3-1866 Memory ($68.00 @ Newegg)
Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($58.99 @ NCIX US)
Video Card: Asus GeForce GTX 760 2GB Video Card ($239.99 @ Microcenter)
Case: Corsair 200R ATX Mid Tower Case ($49.99 @ NCIX US)
Power Supply: XFX 550W 80+ Bronze Certified ATX Power Supply ($49.99 @ NCIX US)
Operating System: Microsoft Windows 8.1 - OEM (64-bit) ($94.98 @ OutletPC)
Monitor: Acer S220HQLAbd 21.5" Monitor ($99.99 @ Amazon)
Total: $1001.89
(Prices include shipping, taxes, and discounts when available.)
(Generated by PCPartPicker 2014-01-03 22:04 EST-0500)