Ignore 100% of this.
Do not, do not, do not upgrade on your current platform. AM3 is more than a decade old and you're not going to see any real improvement staying on it. Any remotely modern GPU is going to be a waste of money on that platform as well, you're going to completely bottleneck and choke the performance. You likely can't meet power needs with that board and your current power supply either and that's if a newer card will even work on PCI slots that old.
GPUBoss is a joke. They're an adfarm site and have worse information than The Verge does. :rolleyes:
If you want to compare parts, use
https://cpu.userbenchmark.com/
For that budget you're basically looking for used last gen or 2 gen ago parts, but frankly you'd be better off getting a new console. But you could walk into Best Buy or somewhere similar and buy literally any tower off the shelf and be leaps and bounds better off than you are now on a PC that's basically 7+ generations old
If you really want another PC, wait a few months until current gen inventory gets back to normal and pricing normalizes and start looking for last gen parts for cheap.
If you have a Micro Center anywhere near you, go there and tell them what you're looking for and they'll walk you through putting parts together. Their staff is knowledgeable unlike most retail stores.
But right now is a really bad time to build a PC in general. Demand is through the roofs and parts are scarce. Production can't keep up and it's not just big stuff like CPUs and GPUs, but everything from cases to power supplies. Power supplies especially are crazy expensive due to the shortage.
With that budget, this is what I would do:
https://pcpartpicker.com/list/wY4PcT
$591 ^
At least that AMD chipset will allow you to upgrade to current gen Ryzen later if you want to.
That CPU is probably 4-5 times or more the performance of your current CPU. The on board Vega graphics will let you run modern games at low-med settings with a decent refresh rate and you can save the leftover money for a dedicated GPU. I've seen 1080 Ti used as low as $200 lately. You can get a regular 5700 new for like $400 if you want.
M.2 drive for the OS is going to blow you away with how much faster it is than booting off a mechanical drive. The mechanical drive will give you a ton of storage for games and whatnot.
Not the best gaming PC in the world, but infinitely better than what you have now and it gives you a realistic upgrade path into current hardware later.
I'd also look into getting a decent monitor. You're not outputting 4k on what you've got, and certainly not doing it with this. TVs don't process in real time anyway, most upscale to 4k and have god awful input lag. Nothing you'd notice watching movies, but if you plan on playing anything competitive online at all you're seeing things well after they happen.