The best replacement for webdav is ftp.

The best alternatives to webdav are rated as following:
★★★★★  ftp
★★  smb
★★  cifs
★  afp
★  ews
★  caldav
  sshfs
  fpse
  ftp faster
  sftp

Your alternative for webdav is not listed? Suggest!
Speaking about webdav, one probably shouldn't forget about dropbox server address.

Other search terms related to webdav and their ratings are:
★★★★★ dropbox server address
You have in mind a companion for webdav and it is not yet here? Propose!



Google Trends

Scale is based on the average worldwide traffic of webdav in all years. Click on graph for more.
webdav
ftp
smb