Does this build look alright

Almost. Change the psu with this one. Its same price but its one of the best (seasonic) and more power (520W).

[PCPartPicker part list](https://pcpartpicker.com/list/zkbcyX) / [Price breakdown by merchant](https://pcpartpicker.com/list/zkbcyX/by_merchant/)

Type|Item|Price
:----|:----|:----
**CPU** | [AMD - Ryzen 5 1600 3.2GHz 6-Core Processor](https://pcpartpicker.com/product/mV98TW/amd-ryzen-5-1600-32ghz-6-core-processor-yd1600bbaebox) | $149.89 @ OutletPC
**Motherboard** | [ASRock - B450M PRO4 Micro ATX AM4 Motherboard](https://pcpartpicker.com/product/dQgzK8/asrock-b450m-pro4-micro-atx-am4-motherboard-b450m-pro4) | $69.99 @ Newegg
**Memory** | [G.Skill - Ripjaws V Series 8GB (2 x 4GB) DDR4-3200 Memory](https://pcpartpicker.com/product/D6RFf7/gskill-memory-f43200c16d8gvkb) | $87.99 @ Newegg
**Storage** | [Western Digital - Caviar Blue 640GB 3.5" 7200RPM Internal Hard Drive](https://pcpartpicker.com/product/m6fp99/western-digital-internal-hard-drive-wd6400aaks) |-
**Video Card** | [EVGA - GeForce GTX 1050 Ti 4GB ACX 2.0 Video Card](https://pcpartpicker.com/product/wrmxFT/evga-geforce-gtx-1050-ti-4gb-acx-20-video-card-04g-p4-6251-kr) | $169.99 @ Amazon
**Case** | [Raidmax - Ninja II ATX Mid Tower Case](https://pcpartpicker.com/product/ng4NnQ/raidmax-ninja-ii-atx-mid-tower-case-atx-a06wbb) | $25.98 @ Newegg Business
**Power Supply** | [SeaSonic - S12II 520W 80+ Bronze Certified ATX Power Supply](https://pcpartpicker.com/product/fZyFf7/seasonic-power-supply-s12ii520bronze) | $44.99 @ Newegg
| *Prices include shipping, taxes, rebates, and discounts* |
| **Total** | **$548.83**
| Generated by [PCPartPicker](https://pcpartpicker.com) 2018-09-20 21:43 EDT-0400 |

Your build is nice and all, but with US$180 you can get the much (much) better performance. Here is my recommendation:
[PCPartPicker part list](https://pcpartpicker.com/list/3XFHnH) / [Price breakdown by merchant](https://pcpartpicker.com/list/3XFHnH/by_merchant/)

Type|Item|Price
:----|:----|:----
**CPU** | [AMD - Ryzen 7 1700 3GHz 8-Core Processor](https://pcpartpicker.com/product/3kPzK8/amd-ryzen-7-1700-30ghz-8-core-processor-yd1700bbaebox) | $208.89 @ OutletPC
**Motherboard** | [ASRock - B450M PRO4 Micro ATX AM4 Motherboard](https://pcpartpicker.com/product/dQgzK8/asrock-b450m-pro4-micro-atx-am4-motherboard-b450m-pro4) | $69.99 @ Newegg
**Memory** | [G.Skill - Aegis 16GB (2 x 8GB) DDR4-3000 Memory](https://pcpartpicker.com/product/FNprxr/gskill-aegis-16gb-2-x-8gb-ddr4-3000-memory-f43000c16d16gisb) | $127.99 @ Newegg
**Storage** | [Western Digital - Caviar Blue 640GB 3.5" 7200RPM Internal Hard Drive](https://pcpartpicker.com/product/m6fp99/western-digital-internal-hard-drive-wd6400aaks) |-
**Video Card** | [Gigabyte - GeForce GTX 1060 6GB 6GB D5 6G Video Card](https://pcpartpicker.com/product/wz648d/gigabyte-geforce-gtx-1060-6gb-d5-6g-video-card-gv-n1060d5-6gd) | $249.99 @ Newegg
**Case** | [Raidmax - Ninja II ATX Mid Tower Case](https://pcpartpicker.com/product/ng4NnQ/raidmax-ninja-ii-atx-mid-tower-case-atx-a06wbb) | $25.98 @ Newegg Business
**Power Supply** | [SeaSonic - S12II 520W 80+ Bronze Certified ATX Power Supply](https://pcpartpicker.com/product/fZyFf7/seasonic-power-supply-s12ii520bronze) | $44.99 @ Newegg
| *Prices include shipping, taxes, rebates, and discounts* |
| **Total** | **$727.83**
| Generated by [PCPartPicker](https://pcpartpicker.com) 2018-09-20 21:53 EDT-0400 |

The only missing part from my recommendation is SSD, which can be added when you have more budget. Trust me, even though R7 1700 is older and lower clock, but its 8 core 16 thread is not something to laugh about. Its low clock can be overclock when you get the hang of things and standard heatsink can be upgraded later, but its still in a far away time as the cpu itself is capable for current games.
The benefit of the extra $180 are:
1. 8 core 16 thread cpu
2. 2x8 Gb ram
3. GTX 1060 6Gb
With this build you will never need to add any ram until the end of its usage. GTX 1060 is already 2 years, but its still a good gpu. Your choice of R5 1600 is not bad, you can keep it if you want, its just that 1700 price is the best deal to ensure your longer usage of this build.

But its up to you.