Also, a Radeon 7750 is good for around about 2011 games, it's not a card that'll cope well with Ultra graphics of demanding games like Metro 2033 and Crysis 2 (I have a 6870 - a better card - and that runs ultra on Metro at about 20 fps), and although you may not be playing games at ultra, or mind a slower fps, the 7750 is by no means a way of future proofing (which really is worth saving an extra few months for!).
By a 3.6GHz Quad-Core I assume you mean the AMD 'Bulldozer' FX4100? I know from research that I found myself (Because when I built my PC 3 months back I considered it) that it was literally a load of shite. It's a 4 'logical' core processor, so it's 2 physicsal with threading - which by no means is the same thing. BUT for budget gaming and an entry-level PC it will do the job
Also in your build you didn't mention any cables that you'd need, thermal stuff, PC case or Power Supply Unit, are the keyboard and mouse USB?
So I'd just go with an Xbox if I were you.