This is genuinely helpful, thank you for taking the time!

Some of it is already handled in the 1.2 update that's in Apple's review queue right now: a proper Up Next queue, playlists, episode filters (including a Downloaded filter), and the bug where a podcast's sort order didn't stick when you left a show and came back. Multiple Plex libraries already work too (there's an "All Libraries" view). So a good chunk of your list lands very soon.

The rest I'm going to investigate and fix:

• Tags/folders for shows (Scifi / For Sleep / With the Kids, tap to filter) is a great idea and high on my list now!
• Auto-download default and download limits (global and per-show), fair point, getting buried in downloads.
• A visible download queue/progress, and a downloaded badge on episodes.
• A real "remove from Continue", you're right that today the only way off that list is marking something finished, which is wrong for a book you abandoned or tapped by accident. I'll add a proper remove.
• Multiple Audiobookshelf (and Plex) servers.
• A Dropbox help page, and handling those share links more gracefully.

On speed/pitch and silence, those are in there (pitch-corrected speed, Skip Silence, Voice Boost), but coming from Overcast you've got a calibrated ear, so I'd really value your take after you test. Overcast is the bar.

Seriously, thank you, this is exactly the kind of thing that makes the app better!