This will allow you to get at least some of the files:
wget --user-agent "Mozilla/4.0 (compatible; MSIE 7.0; Windows NT 5.1; .NET CLR 1.0.3705)"
http://web.archive.org/web/20040415065133/www.nethkin.com/bmori/amiga/dos1.html --output-document - | perl -p -e 's/\/\/www.nethkin.com/\/\/web.archive.org\/web\/20040415065133\/www.nethkin.com/g' | wget --input-file - --force-html --user-agent "Mozilla/4.0 (compatible; MSIE 7.0; Windows NT 5.1; .NET CLR 1.0.3705)" --convert-links --force-directories --no-host-directories --cut-dirs 3 --wait 20 --random-wait
The pages will appear in bmori/amiga/ directory (and subdirectories).
Note that archive.org has robots.txt file that if followed prohibits apps from recursively grabbing content. In this case I've added "--wait 20 --random-wait" to make the leeching less distruptive. Downloading takes longer, but shouldn't piss off archive.org admins.
I know this is far from perfect solution, but at least it works somewhat (without need for downloading everything by hand).