You'll be fine. I played Crysis 2, 3, Borderlands 1, 2, 3, Starcraft 2, BF4 and Fallout 3 with that CPU and a GTX 970 @ 60 fps. Your 960 will probably be the limiting factor in most of your games.
Here are some games that are going to burden your CPU though:
1. Witcher 3,
2. GTA V,
3. ARMA 2,3,
Your question can really only be answered properly if you state your favorite games, the resolution and the detail levels that you want to play at.