I guess it will be OK to run some major games before '09/'08 like COD 8 or older version w/ medium or low settings (except COD 7), GTA San Andreas or older (Of course u could try GTA IV but I would say save the time of suffering low fps), NFS 10 or older, Simcity 4 or older (probably u could play some mod version of Simcity 4), CS Source, CS 1.5 or 1.6, some sports games like FIFA or NBA but I'm not optimistic w/ newer versions or playing in high settings.
Just give u a general idea. i3-3217u equals or better than AMD A8 APUs (Just the CPU part, not the graphic part) thanks to its process , Hyper-Thread Tech (make it like a virtual quad-core CPU) and better efficiency per clock. HD 4000 graphics equal with some low end AMD/Nvidia GPUs...