I love Player.fm

They have both an android app with a lot of good features (stream or download, can set how many episodes to download at a time, when to delete old ones, all per podcast and as global defaults, set up your own categories/lists, display order, play order, etc) and an actual web site where you can log in and listen to your stuff as well with synced history, so you can pick up pretty much at the exact spot you paused a podcast on your phone (or vice versa).

Audiobookshelf

I'm using PodcastRepublic on Android right now. It does a fantastic job of organizing my daily playlist for exactly what order I prefer to listen to episodes. The down side is that there is no easy way to translate this nice playlist stuff to the browser website. The state of the website is "mostly functional" and plays audio. Not much else. There is no sync to the Android app.

What I am going to try next is Audiobookshelf with a python script on their API to get the same playlist sorting features. I've got the architecture written out, but haven't gotten the time to write the code.

Reading into gpodder here is making want to give that a try, but the only website listed on this table doesn't say it syncs playback progress.

So what I'm looking for is something this can sort playlists like PodcastRepublic and sync playback progress like PocketCasts. AFAIK that combo doesn't exist right now.

93 nominations for the same thing, means I'm probably the wrong answer but I don't Graphene, but I was degoogling and found PlayerFM listed among good Free Open Source Software FOSS options. Hope it works as Graphene option.

If you self host nextcloud, another option is to put the rss feeds for your favorite podcasts into the news app. I listen to all of my podcasts through that.

However... I'd totally be interested in a better self hosted podcast app that allows me to see a record of everything I've listened to, while also allowing me to download the episodes to my phone, lol. That's the only reason I'm stuck on the news app still.

I personally like Podverse.

I personally switched my mom over to Pocket Casts after the news that Google Podcasts was shutting down. I don't listen to podcasts, tho, and I really just picked it because it was rated well. It's also not FOSS

Nothing beats just downloading a podcast and listening to it in VLC or you audio player of choice - I don't really understand why podcast apps are needed.

But that said, if you need to use one AntennaPod has all the features and you can even get it on F-Droid.