Yesterday I received a surprise package in the mail: a cigar box ukulele kit from Papa's Boxes (which sells kits for four different ukuleles and a 5 string banjo, all based on cigar boxes). It looks like it has everything needed — a cigar box, strings, hardware, glue, drill bits, and even a piezoelectric buzzer for an acoustic/electric pickup. The parts are all labeled and everything looks like it's been put together with loving care.
The neck is pretty much finished, with fretboard and frets already in place. That means it ought to be pretty easy to make with just a few standard tools, like a drill and a screwdriver.
I think this will be my Thanksgiving weekend project!