I kind of doubt that. I've tried a pretty wide assortment of "this gen" games on my 2012 macbook air and they universally run like garbage. The last one I tried was Burnout Paradise. That's a 5 year old game, and it runs quite poorly at 800x600 (and at that setting looks pretty terrible too).
Even if Haswell manages to double that performance, I think the OP would not be happy running anything from the 360 generation. The only "newer" games that perform OK are Valve games like Portal 2.