There are many podcast clients in the App Store. Our new pick for what we consider to be the best podcast client for iOS is Overcast. Overcast has a very easy-to-use interface, in the year since it was released it has seen frequent updates, and it’s available as a universal iOS app and a web-based player. But best of all are Overcast’s two most useful and compelling features: Smart Speed and Voice Boost (which we’ll get into later).
I've been listening to podcasts since the beginning, and Overcast is my favorite app. Read my review over at The Sweet Setup.