This has huge potential. What I personally look for in a podcast solution is:
Web/desktop player
Sync between players (down to seconds)
Organize subscribed podcasts with folders/tags
Per podcast/folder/tag settings for "automatically add to queue"
Some way of dealing with older (backlog) episodes (built-in or via an API)
For now, I'm using Pocketcasts which pretty much does what I need, except for handling the backlog, which I do with a homemade python-script that adds backlog episodes to my playlist whenever it has less than 4 hours of playtime left, using Pocketcast's web player REST API. The result is an endless playlist where newly released episodes are played within a few hours and older episodes are sprinkled on with no real need for micro-managing episodes in the playlist.
It looks like web/desktop players and sync is already in scope, but are there any "advanced" podcast organization features on your roadmap?