I got a FX8350 myself so I'll just talk about my experience:
You can play every game, yes. However, in CPU demanding games like MMORPG's, you'll fall behind to Intel CPU's. Sometimes big, sometimes small differences, depends on game and Intel CPU.
However, for less CPU demanding games like BF4, Assassins Creed (prior to Unity) etc, fx8350 is just fine.
Though, I suggest taking a newer generation than 8350, its been out a bit too long to still buy it honestly.
Newer games demand more and also Assassins Creed (Unity +) requirements go above the FX8350 offerings.
I suggest going FX9590, price difference aint much but its also a bit better looking at becnhmarks.
Cheers