If your games are multi core enabled, the phenom X4 might be better.
But, very few games use more than 2 cores, so the faster cores of the i3-3220 would be better there.
Here are two tests which show the cpu performance differences.
The list includes a X4 980 which is a bit faster than the X4 965
And a i3-2100 which is slower than the i3-3220.