Gaming Build under 650$

Solution
This should do well for you. BTW...Your next upgrade should be your GPU.

PCPartPicker part list / Price breakdown by merchant

CPU: Intel Core i5-6500 3.2GHz Quad-Core Processor ($191.91 @ Jet)
CPU Cooler: CRYORIG H7 49.0 CFM CPU Cooler ($34.88 @ OutletPC)
Motherboard: ASRock H170 Pro4 ATX LGA1151 Motherboard ($89.99 @ Newegg)
Memory: Corsair Vengeance LPX 16GB (2 x 8GB) DDR4-2400 Memory ($88.99 @ Amazon)
Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($49.78 @ OutletPC)
Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($49.78 @ OutletPC)
Power Supply: Corsair...
This should do well for you. BTW...Your next upgrade should be your GPU.

PCPartPicker part list / Price breakdown by merchant

CPU: Intel Core i5-6500 3.2GHz Quad-Core Processor ($191.91 @ Jet)
CPU Cooler: CRYORIG H7 49.0 CFM CPU Cooler ($34.88 @ OutletPC)
Motherboard: ASRock H170 Pro4 ATX LGA1151 Motherboard ($89.99 @ Newegg)
Memory: Corsair Vengeance LPX 16GB (2 x 8GB) DDR4-2400 Memory ($88.99 @ Amazon)
Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($49.78 @ OutletPC)
Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($49.78 @ OutletPC)
Power Supply: Corsair CXM 550W 80+ Bronze Certified Semi-Modular ATX Power Supply ($59.99 @ Newegg)
Total: $565.32
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2016-12-12 16:44 EST-0500

EDIT: Wrong build. Here's the correct one:

PCPartPicker part list / Price breakdown by merchant

CPU: Intel Core i5-6500 3.2GHz Quad-Core Processor ($191.91 @ Jet)
CPU Cooler: CRYORIG H7 49.0 CFM CPU Cooler ($34.88 @ OutletPC)
Motherboard: ASRock H170 Pro4 ATX LGA1151 Motherboard ($89.99 @ Newegg)
Memory: Corsair Vengeance LPX 16GB (2 x 8GB) DDR4-2400 Memory ($88.99 @ Amazon)
Storage: Samsung 850 EVO-Series 250GB 2.5" Solid State Drive ($89.99 @ Amazon)
Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($49.78 @ OutletPC)
Power Supply: Corsair CXM 550W 80+ Bronze Certified Semi-Modular ATX Power Supply ($59.99 @ Newegg)
Total: $605.53
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2016-12-12 16:45 EST-0500
 
Solution
Upgrade the card too.

PCPartPicker part list / Price breakdown by merchant

CPU: Intel Core i5-6500 3.2GHz Quad-Core Processor ($191.91 @ Jet)
Motherboard: Gigabyte G1.Sniper B7 ATX LGA1151 Motherboard ($107.98 @ Newegg)
Memory: Kingston HyperX Fury Black 8GB (2 x 4GB) DDR4-2133 Memory ($52.30 @ Amazon)
Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($49.78 @ OutletPC)
Video Card: Gigabyte GeForce GTX 1060 3GB 3GB Windforce OC Video Card ($199.99 @ Jet)
Power Supply: SeaSonic S12II 520W 80+ Bronze Certified ATX Power Supply ($50.98 @ B&H)
Total: $652.94
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2016-12-12 16:45 EST-0500
 
So I don't think it would be a good idea to hold on to that 750. I think you'd be good upgrading to something like this.

PCPartPicker part list / Price breakdown by merchant

CPU: Intel Core i3-6100 3.7GHz Dual-Core Processor ($108.99 @ SuperBiiz)
Motherboard: ASRock H110M-HDS Micro ATX LGA1151 Motherboard ($46.88 @ OutletPC)
Memory: G.Skill Ripjaws V Series 16GB (2 x 8GB) DDR4-2133 Memory ($79.99 @ Newegg)
Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($49.78 @ OutletPC)
Video Card: Zotac GeForce GTX 1060 6GB 6GB Mini Video Card ($239.99 @ SuperBiiz)
Power Supply: SeaSonic G 550W 80+ Gold Certified Semi-Modular ATX Power Supply ($69.99 @ Newegg)
Total: $595.62
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2016-12-12 16:50 EST-0500

 

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