$1300 Budget PC Build

Solution
This maxes your budget but it includes windows 10 and a more powerful gpu while maintaining a black and red theme

PCPartPicker part list / Price breakdown by merchant

CPU: Intel Core i7-6700K 4.0GHz Quad-Core Processor ($299.99 @ Newegg)
CPU Cooler: Thermaltake Riing Silent 12 Pro Red 53.0 CFM CPU Cooler ($59.83 @ Amazon)
Motherboard: MSI Z170A SLI ATX LGA1151 Motherboard ($90.98 @ Newegg)
Memory: G.Skill Ripjaws V Series 16GB (2 x 8GB) DDR4-2400 Memory ($74.99 @ Newegg)
Storage: Sandisk Ultra II 240GB 2.5" Solid State Drive ($73.99 @ Newegg)
Storage: Seagate 2TB 3.5" 7200RPM Internal Hard Drive ($81.90 @ Jet)
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KeelinTy

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This maxes your budget but it includes windows 10 and a more powerful gpu while maintaining a black and red theme

PCPartPicker part list / Price breakdown by merchant

CPU: Intel Core i7-6700K 4.0GHz Quad-Core Processor ($299.99 @ Newegg)
CPU Cooler: Thermaltake Riing Silent 12 Pro Red 53.0 CFM CPU Cooler ($59.83 @ Amazon)
Motherboard: MSI Z170A SLI ATX LGA1151 Motherboard ($90.98 @ Newegg)
Memory: G.Skill Ripjaws V Series 16GB (2 x 8GB) DDR4-2400 Memory ($74.99 @ Newegg)
Storage: Sandisk Ultra II 240GB 2.5" Solid State Drive ($73.99 @ Newegg)
Storage: Seagate 2TB 3.5" 7200RPM Internal Hard Drive ($81.90 @ Jet)
Video Card: MSI GeForce GTX 1070 8GB Video Card ($379.99 @ Newegg)
Case: NZXT S340 (Black/Red) ATX Mid Tower Case ($57.99 @ Newegg)
Power Supply: EVGA SuperNOVA G2 650W 80+ Gold Certified Fully-Modular ATX Power Supply ($89.99 @ B&H)
Operating System: Microsoft Windows 10 Home OEM 64-bit ($83.89 @ OutletPC)
Total: $1293.54
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2016-11-23 21:05 EST-0500
 
Solution
PCPartPicker part list: https://pcpartpicker.com/list/JLQNgL
Price breakdown by merchant: https://pcpartpicker.com/list/JLQNgL/by_merchant/

CPU: Intel Core i7-6700K 4.0GHz Quad-Core Processor ($299.99 @ Newegg)
CPU Cooler: CRYORIG H5 Universal 65.0 CFM CPU Cooler ($46.88 @ OutletPC)
Motherboard: ASRock Z170 Extreme4 ATX LGA1151 Motherboard ($119.99 @ Newegg)
Memory: G.Skill Ripjaws V Series 16GB (2 x 8GB) DDR4-3000 Memory ($79.99 @ Newegg)
Storage: Samsung 250GB 2.5" Solid State Drive ($74.99 @ Best Buy)
Storage: Seagate Barracuda 1TB 3.5" 7200RPM Internal Hard Drive ($48.89 @ OutletPC)
Video Card: Gigabyte GeForce GTX 1060 6GB 6GB G1 Gaming Video Card ($254.99 @ Newegg)
Case: NZXT S340 (Black/Red) ATX Mid Tower Case ($57.99 @ Newegg)
Power Supply: Corsair CXM 550W 80+ Bronze Certified Semi-Modular ATX Power Supply ($29.99 @ Newegg)
Total: $1013.70
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2016-11-23 21:52 EST-0500