Old post, but if you connect your phone to your PC using bluetooth, you can play audio to your PC from your phone, at least this works for me on KDE plasma. I use this to continue listening to music/podcasts from my phone without having to set up any sort of sync solution.

Previously, I was usin scrcpy, an adb based solution to route audio from my phone to my computer.

I know it's kind of niche, but I absolutely love many of the features of Podcast Republic.

Being able to have multiple queues and have them automatically chain together by priority is an irreplaceable feature for me.

I moved from Google Podcasts (which is pretty good) to AntennaPod, which is FOSS and honestly, pretty damn solid

I support Pocket Casts because it's made by Automattic, the makers of WordPress, Tumblr, and WooCommerce. Their CEO, Matt Mullenweg, is someone who seems to really care about the freedom and diversity of the internet. As far as players go, it's got all the features you'd want for an Android app.

I seldom listen on my PC, but if I want to I can usually find the stream on whatever service the podcast has chosen (their own site, or whichever embedded player they elect to use).

I've been using Pocket Casts on Android and it works well. I think that I started using it 2 years ago and I haven't encountered any issues. I use the free version and it hasn't asked me to pay and hasn't shown me ads. I'm a light user when it comes to podcasts though.

They have a web player for PC, but I haven't tried it.

I'm using PocketCasts and I paid a one-time fee before it became subscription based (but there's still a free tier), in order to be able to listen to podcast using the web app on PC. Thus I now have lifetime premium access.

I'm very satisfied with their service, I did not find any problems with both the Android app and the web app, moreover it has almost every feature I need, except voice to text conversion in order to be able to share slices of audio in text format (but there are dedicated apps for that).

On desktop I use Tildes. It's fairly minimalistic in terms of features, but very smooth and attractive UI. It does what I need with no headaches and looks great doing it. Like many others here I use AntennaPod on mobile.

Google Podcasts app works well enough for me

Podcast Addict is amazing. No complaints.

https://podcastaddict.com/app