Here are the podcast apps I use on a regular basis. You can go to newpodcastapps.com to find modern podcast apps with features you won’t find in Apple Podcasts, Google Podcasts, or Spotify.
Web Apps
Web apps are generally platform agnostic. This means you can use the web app on your desktop, laptop, tablet, or phone while using any operating system. They generally work in any web browser.
Phone Apps
I use Android phones but the apps below have both iOS and Android versions. I use Podcast Addict for most podcasts because it has a playlist feature and I like the UI.