Pocketcasts

Feature-rich, easy to use, and you can even back up and synchronize your playback list. It's on Android, not sure about iOS. You can adjust playback speed and eliminate silent gaps! That really cuts down on playback time! Even tracks how much time you have saved using those two features. AND AND AND it also has the ability to skip the beginning x amount of seconds in the beginning and/or end of the podcast, so you don't have to listen to intros etc. I use this app several times a day. Worth paying for the upgrade. Haven't purchased the subscription portion, just the app upgrade.