When I said I'd got it to work I meant I'd found the playlist files on my shield via network file manager. They indeed are in X:\Android\data\org.xbmc.kodi\files\.kodi\addons\skin.titan.bingie.mod\playlists
I can see them:
But when I use the skin to navigate to them as in your screenshots, I get this:
So for some reason my skin can't see the playlists.
They are there, as I can see them in my file manager on my laptop connected to the shield and the Bingeworthy widget is working in the skin.
On the shield, Kodi in App permissions is set to 'Allow all the time' (I've reset this just in case and rebooted the shield) and in Kodi Settings/System/Add-ons, unknown sources it turned on and update official add-ons is set to any repositories.
Wonder if there is some obscure setting that needs to be changed. Hmmm....