If you are okay with overclocking, the Radeon HD 7950 overclocked will beat the GTX 760, and sometimes even the GTX 770 overclocked.
It is only $250 right now for a good sapphire version of the card.
If you do not want to overclock, then get the GTX 760 or GTX 770. They are good stock cards.
Also to Geofelt, with the Xbox One and PS4 being more like computers than consoles ever have been, and both running on 8 cores, I would think new generation of games would start taking advantage of the 8 cores when ported to PC.
Overall, the i5-3570k vs. the FX-8350, the only thing the 3570k really wins at is single core performance. The 8350 for the typical user (gaming, watching youtube, listening to music, etc.) the 8350 will deliver a smoother experience with applications becoming more and more threaded.