Castro: Podcast Player
If you're just getting started with podcasts, Castro ($4.99 for iOS) is a good place to start. It's also beneficial if you don't have a large number of podcasts to keep. The software has a continuous play option, a slew of data management settings, a sleep timer, and gestures that make it easy to use while on the road.
The program also allows you to avoid downloading podcasts and instead stream them, which is useful if you don't have a lot of capacity on your device. The program offers a basic user interface and a night mode, which is useful if you work the night shift. There's a sleep timer, a playback speed slider, and some interesting discovery features that let you find new podcasts.
Detailed information:
Price: $4.99
Platform: iOS
Website: supertop.co/castro/