I have 1x A600 (512MB HDD/WB&KS 3.1/2MB RAM)
I also have another A600 and A1200, which I am currently restoring and will be for sale in the near future (I enjoy cleaning them up, minor fixes, a few upgrades and then onto another user for 25 years more computing!)
I would think Scuzz or TrevorDick would have the record. TrevorDick has around 80 (lost count about then anyway - see his signature):
http://amigaworld.net/userinfo.php?uid=3800