With the budget you have your should go Intel.
Here's a list I put together. It is closer to $100 than $750.
PCPartPicker part list / Price breakdown by merchant
CPU: Intel Core i5-6600K 3.5GHz Quad-Core Processor ($233.99 @ SuperBiiz) CPU Cooler: Cooler Master Hyper 212 EVO 82.9 CFM Sleeve Bearing CPU Cooler ($28.98 @ OutletPC) Motherboard: MSI Z170A GAMING M5 ATX LGA1151 Motherboard ($159.99 @ Micro Center) Memory: G.Skill Aegis 8GB (1 x 8GB) DDR4-2400 Memory ($27.99 @ Newegg) Storage: Samsung 850 EVO-Series 250GB 2.5" Solid State Drive ($84.88 @ OutletPC) Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($47.99 @ Micro Center) Video Card: MSI Radeon R9 380 4GB Video Card ($213.98 @ Newegg) Case: Cooler Master HAF 912 USB3.0 ATX Mid Tower Case ($58.49 @ Amazon) Power Supply: EVGA SuperNOVA NEX 650W 80+ Gold Certified Fully-Modular ATX Power Supply ($69.99 @ SuperBiiz) Total: $926.28 Prices include shipping, taxes, and discounts when available Generated by PCPartPicker 2016-04-27 13:16 EDT-0400