I tested on AmiKit with WinUAE. Ibrowse and AWeb works, but Netsurf gives me always unresolve errors. I there a secret setting I forgot?
It's the same as with OWB under winuae.
Download AmiTCP from aminet. Copy all install files to a drawer on your
harddisk and assign amitcp: to this drawer.
Then it will work.
Edit: There's no need to really install AMITCP. Just copy all files to a drawer on your hd. And yes, you still have to use bsdsocket emulation.