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Final piece of hardware to throw in is an optical drive. The chassis needs a notebook optical drive, and I've gone for the LG GT60N which is only 12.7mm high.
Image source: LG.
Since the motherboard I have chosen supports Windows 8, might as well choose this operating system for the system. If you'd rather Windows 7 or Windows Vista, then feel free to install this instead.
Image source: Microsoft.
Total cost of build: $1,081.
Intel has put together a handy video showing how to put an all-in-one PC together which you might be interested in taking a look at.