I would not purchase those components, as they are old and lack features of modern systems:
PCPartPicker part list /
Price breakdown by merchant
CPU: Intel Core i5-6500 3.2GHz Quad-Core Processor ($199.99 @ B&H)
Motherboard: Gigabyte GA-B150M-D3H Micro ATX LGA1151 Motherboard ($57.98 @ Newegg)
Memory: Avexir Core Series 8GB (2 x 4GB) DDR4-2400 Memory ($29.99 @ Newegg)
Storage: Samsung SM951 128GB M.2-2280 Solid State Drive ($105.99 @ Amazon)
Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($47.49 @ OutletPC)
Video Card: Sapphire Radeon RX 480 8GB Video Card ($269.99 @ B&H)
Case: Corsair Vengeance C70 (Black) ATX Mid Tower Case ($109.99 @ Amazon)
Power Supply: EVGA SuperNOVA G2 550W 80+ Gold Certified Fully-Modular ATX Power Supply ($72.98 @ Newegg)
Total: $894.40
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2016-07-12 13:02 EDT-0400
The CPU is faster than the i5 you listed and more efficient.
The motherboard offers similar features, while also having an m.2 connector for fast NVM-E storage.
DDR4 memory is significantly faster than DDR3, a benefit from the newer system.
The m.2 SSD listed offers extremely fast read and write speeds.
The RX480 is significantly faster than the GTX 960, with the added benefit, of having much more VRAM. Many 1080p games are starting to use more than 4GB of VRAM, and if you ever upgrade to 1440p, it's nice to have a larger pool of memory.
Your case and power supply are good components, and you should be fine with them.
Best of luck!