Now, i'm more biased towards Intel builds, but that's out of sheer history. Are there any other recommendations out there that would offer a "Complete" build w/o the operating system? (That's taken cared of)
The case is VERY small. It can be attached to the back of a monitor whose stand does not use the VESA attachment on the rear of the panel, creating an "All-in-one". Or it can be put underneath the monitor without being noticed because it is only 2.7" high. or it can be stood on its side alongside the monitor. It runs cool and very quiet.
Grandma needs nothing more
The total is about $40 over your budget, though some money can be saved on the HD.
** The variation I used: an SSD, 4GB memory, and the Gigabyte minITX motherboard.
a note on the Tiger Direct build: The CPU dates from between Nov 2007 and March 2008. 3-4 year old design. Hot, slow. The i3-530 in twoboxer's build and the Athlon II X2 250 in my build are both an order of magnatude faster