$640 (USD) build which includes Windows 8.1 64-bit:
http://pcpartpicker.com/p/3xXiI
*What CPU you get must be put in context with the BUDGET you have as well so that you can choose the OPTIMAL balance of parts.
I was unsure of whether $600 included Windows so I just made up a build so we can refer to that and make changes as needed.
**Points on my build:
1) The CPU has a stock cooler, however I'd personally recommend getting the Cooler Master Hyper 212 Evo to reduce noise especially under load. For some reason this cooler is missing now from this site.
2) The motherboard is FM2+ (not AM3+) because of the chosen CPU. This was the cheapest motherboard I'm comfortable recommending in terms of quality.
The board is also micro-ATX due to cost AND because of the case I wanted to choose. Be warned some other boards only have a PCI (not PCIe) slot once the main graphics slot is used.
Asus F2A85-M PRO: https://www.asus.com/Motherboards/F2A85M_PRO/
- better heatsink/capacitors to CPU voltage regulation than most boards in this price
- restore corrupted BIOS
- better PCIe expansion than other micro-ATX boards
3) CPU:
I think this is arguably the BEST CPU in your budget.
4) Memory: 2x4GB 1600MHz (pretty typical).
5) Asus GTX750Ti:
Great card. It's similar to an HD7850. It will perform better if overclocked so it's a good value. It also requires LESS POWER than similar cards which allowed a cheaper power supply.
GTX750Ti benchmark (Asus at 10% overclock; now goes to about 25% stable I believe getting close to stock GTX660):
http://www.techpowerup.com/reviews/ASUS/GTX_750_Ti_OC/25.html
6) Power Supply:
I read a good review, and have purchased this one. It's suitable for up to 1x6-pin graphics card. Pretty good value and that's the focus.
7) WINDOWS 8.1 64-bit:
*I know a lot of people still recommend W7 but I strongly recommend Windows 8.1. You can easily avoid the new interface with Start8 ($5) and there are quite a lot of improvements under the hood, as well as things coming that will not support Windows 7.
Summary:
Good luck on your build. Again, wasn't sure what exactly the budget included. If you have to make any changes make sure:
a) parts are all still compatible, and
b) Quality is there (customer reviews mainly)