So far I have bought two "For parts, not working" Amiga 600's.
Amiga 600 number 1
The first Amiga I got came all the way from the UK, It was grubby but overall it was in good condition. Opening the case it was clean, the caps have not leaked ( yet! ) and it looked in really good shape overall on first inspection.
Powering it up told a completely different story. The screen flashed from grey to green. I hit up Google and found this wonderful resource.
http://wiki.classicamiga.com/Amiga_boot_error_code_colours
Seems like I had an error in the Chip Ram. Initially I thought I'd have to recap it first, but then I noticed a little fuzzy blue coloured dot near the RAM.
One of the traces to the RAM had corroded into a blue copper oxide puff ball. I cleaned it with some Isocol and a cotton bud and found the trace has completely disappeared. Using a multi-meter I tested all of the surrounding traces and found only one was broken.
A little soldering and some wire and hey presto, a fully functional Amiga 600.
Update : the other corroded trace also finally gave up so I've bypassed that one as well. It was pretty bad before I cleaned it up. This time I scraped all of the bad traces off of the PCB.