@Smoky NVME won´t triple the budget, there´s like 10-20$ diff in Crucial MX 500 and Adata XPG 8200(the older NON PRO model is fine also, I think it performed even better than newer one in benches):
Crucial MX 500: https://www.newegg.com/crucial-mx500-1tb/p/N82E16820156174?Description=crucial mx500 &cm_re=crucial_mx500-_-20-156-174-_-Product
For ULTRA-budget I would even consider: https://www.techspot.com/review/1878-amd-ryzen-3400g/ *notice the iGPU and dGPU performance.
You´d get modern performance 4c\8t CPU with a integrated GPU, which can play any modern games@1080p on LOW settings.(depends on which GPU OP already has)
I´d leave Asrock out, as I´ve heard Asrock is really lazy by updating BIOS. MSI is coming out with MAX series, which should solve the BIOS problem, where you couldn´t "play" all the latest CPU-s from the AMD lineup. I´ve seen people and reviewers using MSI and talking down to Gigabutt. So who knows...
Some 16 GB 3000\3200Mhz DDR4, for an APU like r5 3400G you´d want the best. For ordinary CPU like 2600x doesn´t really matter, 2666-3200Mhz, on low GPU the difference is really marginal. So better save the money. 2133-2400Mhz is really gimping.
So that would be: 530.- = 150.- CPU + 110.- mobo + ~100 NVME SSD + and 90.- for 16GB of RAM + 80.- PSU
RAM(https://www.newegg.com/corsair-16gb-288-pin-ddr4-sdram/p/N82E16820233859?Description=corsair 16gb lpx&cm_re=corsair_16gb_lpx-_-20-233-859-_-Product)
PSU(https://www.newegg.com/corsair-cx-series-cx650m-650w/p/N82E16817139148?Description=corsair cx650m w&cm_re=corsair_cx650m_w-_-17-139-148-_-Product)