If you want a very stable 60 fps I would suggest getting an i5 even if it's locked. FX 8350 has a lot of framerate dips in CPU hungry games below 60 fps.
i5-4460, H87/H97 motherboard, 8GB RAM, GeForce GTX 960 or Radeon R9 280/280X
If this is a bit out of budget then get either an FX-8320 + 970 board or i3-43xx + board... you can get an H81 board for Intel to cut the cost down, but just know H81 boards have only 2 RAM slots, fewer SATA, USB and audio ports. Also if you go with an FX-8320 or Intel i3 you might consider getting an Nvidia card over AMD since it seems like AMD's drivers use more CPU (evidence here
), so if you go with a budget CPU it would help to eliminate the bottleneck as much as possible.