RTX 40-series gaming PCs like these ones are getting cheap enough that they might actually be worthy of the name 'budget'
If you're pushing close to $1,000 you can get a solid all-rounder with the Thermaltake LCGS View i460T V2 with RTX 4060 Ti ...
cclonline1y
AMD Ryzen 5 5600X 6 Core/12 Thread AM4 CPU
Good CPU in the Ryzen 5 family. I've been using this without any issues at an overclock of 4.3 GHz.