I'm choosing the FX-8320 (better performance per $ than FX-8350)
I have a $500 budget.
*If you have a Microcenter that still has the 955BE/965BE for $65, that would definitely be the way to go! Can have the CPU/Motherboard/8GB RAM for $125-135 + Tax.
ONLINE ITEMS:
*128GB SSD for $50-$60 would bring you to ~$200
*500W Antec PSU ~$35=$235
*Antec 300 case? Puts you around $280
*Windforce R9 270 ~$210 = $490 Total
*Find a used 212+/similar cooler on eBay for $10, ~$500 total
Can trim the case in favor of more fans, or possibly a better cooler. I have Amazon Prime/Shoprunner but it would not be a good idea to trust some random person on a forum
EDIT: You can always go with a single RAM module and scrap a HDD until you can afford an upgrade. 4GB RAM is enough for many games, tried and true! Of course, you will not be able to dial certain settings up, or run memory intensive applications in the background. At least you will have a pleasurable experience until you can cough up the extra change, and have a taste at a very modest midrange system
EDIT2: These are all current prices, and I have added about $40 in padding to give a more realistic idea of the total cost. If I see anything you can use this week I will PM you