Edited (Note still with a higher end PSU, since no one has decided whether he should or shouldn't drop to a cheaper, if he does i agree Corsair CXM 550). Still awaiting a word from OP, but i would go with this build over the i5.
PCPartPicker part list:
https://pcpartpicker.com/list/6DsN7h
Price breakdown by merchant: https://pcpartpicker.com/list/6DsN7h/by_merchant/
CPU: AMD - Ryzen 5 1600 3.2GHz 6-Core Processor ($217.88 @ OutletPC)
Motherboard: Asus - PRIME B350-PLUS ATX AM4 Motherboard ($98.29 @ OutletPC)
Memory: G.Skill - Aegis 16GB (2 x 8GB) DDR4-2800 Memory ($109.99 @ Newegg)
Storage: Samsung - 850 EVO 250GB M.2-2280 Solid State Drive ($99.99 @ Amazon)
Storage: Western Digital - Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($47.89 @ NCIX US)
Video Card: Gigabyte - Radeon RX 580 8GB Gaming 8G Video Card ($220.99 @ SuperBiiz)
Case: NZXT - S340 (Black/Red) ATX Mid Tower Case ($61.99 @ Newegg)
Power Supply: EVGA - SuperNOVA G3 550W 80+ Gold Certified Fully-Modular ATX Power Supply ($79.99 @ SuperBiiz)
Total: $937.01
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2017-05-11 04:28 EDT-0400
- Faster RAM for the same price, Ryzen needs it.
- No need for a aftermarket cooler unless OP is doing some moderate+ Overclocking, the standard wraith is not bad for none or even light OCing.
- Gigabyte G1 RX 580 8GB is cheaper and cooler looks to be stronger.
- EVGA NEX is the older series, swapped it to a G3 for only a fraction more.
- $100 for a case seems a bit much for this build, comes down to the OP's preference though. I've added a great quality cheaper one for now.