Overall, the quad core Phenom II and the dual core Core i3 CPUs will perform similarly in games using only 2 cores when both are at stockspeed. However, in games that can benefit from using more than 2 core, the Phenom II pulls out ahead. Add the fact the that the Phenom II X4 965 BE is overclockable, that means the X4 965 BE is overall the better of the two CPUs.
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This isn't true as you can see from your graphs the i3 3220 destroys the phenom 2 x2 cpu at a few games for example Metro LN.
The i3 even edges out the 965 on crysis 3 here.
http://www.tomshardware.com/reviews/crysis-3-performance-benchmark-gaming,3451-8.html