AntennaPod is a podcast player that is completely open. The app is open-source and you can subscribe to any RSS feed. AntennaPod is built by volunteers without commercial interest, so it respects your privacy while giving you full control.
The AntennaPod application itself does not contain ads. If a publisher chooses to add ads to the media files, they get 100% of the revenue.
With AntennaPod, you can download episodes and listen anywhere. You can even select podcasts that should be downloaded automatically.