https://www.pccasegear.com/products/46912/amd-ryzen-3-3200g-apu-with-vega-8-graphics - 185 dollars
https://www.pccasegear.com/products/43357/gigabyte-b450m-ds3h-motherboard - 139 dollars
https://www.pccasegear.com/products/33224/corsair-vengeance-lpx-8gb-(2x4gb)-2133mhz-cl13-ddr4 - 85 dollars
https://www.pccasegear.com/products/41777/western-digital-blue-2.5in-sata-ssd-500gb - 139 dollars
https://www.pccasegear.com/products/41374/thermaltake-versa-h18-window-micro-chassis - 59 dollars
https://www.pccasegear.com/products/47055/cooler-master-mwe-white-550w-power-supply - 69 dollars

In total, it's around 650 dollars. It will definitely play minecraft, and will be able to play other games quite easily.