
R7 260X and Athlon 760k
Combining AMD's budget processor with a solid graphics card will net you some good overall FPS in games especially if you're willing to tweak the settings. Even if you're not, then you'll still be able to play games like Battlefield 4 on ultra (2 x AA) with a framerate above 30FPS.
The Better CPU Choice:
If you'd rather sacrifice some FPS for a better CPU later, then...