Slightly over your budget but this is a good 1080P 60FPS system. Does not include a copy of Windows but you can always use it non activated or look for a cheap OEM license for sale.
PCPartPicker Part List:
https://pcpartpicker.com/list/smhDjp
CPU: AMD Ryzen 5 2600X 3.6 GHz 6-Core Processor ($125.00 @ Amazon)
Motherboard: ASRock B450M-HDV R4.0 Micro ATX AM4 Motherboard ($49.99 @ Newegg)
Memory: G.Skill Ripjaws V Series 16 GB (2 x 8 GB) DDR4-3200 Memory ($62.99 @ Newegg)
Video Card: Zotac GeForce GTX 1650 SUPER 4 GB Twin Fan Video Card ($159.99 @ B&H)
Case: Phanteks P300 ATX Mid Tower Case ($49.99 @ Newegg)
Power Supply: Corsair CXM 550 W 80+ Bronze Certified Semi-modular ATX Power Supply ($77.03 @ Amazon)
Total: $524.99
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2019-12-23 20:02 EST-0500