This connection issue is most frustrating. There doesn't seem to be a way to share a drive with my Amiga.
First of all, you still need a network stack. Genesis from Os 3.9 works fine. Second, Genesis does not speak DHCP, you need to assign a static IP to the Amiga, in the Genesis prefs. Third, there is no CIFS/Samba stack for the Amiga (CIFS is the network file system Microsoft uses), but there is ftp and there is a NFS (network file system) stack, the latter was - I believe - even included in the Genesis distribution and works in general fine.
Thus, for Linux users, all you need to do is to export some part of your filing system (modify etc/exportfs) and edit the configuration of the AmigaNFS accordingly, works like a charm, Linux drives appear on the Amiga.
For Windows, I don't know, you probably have to find an open implementation of a NFS server. Given that the protocol is open, I would be surprised if there wouldn't be such a thing, probably as part of Cygwin. But then again, why would I want to use windows...