I migrated from Doggcatcher to Podcast Addict a couple years ago. They're both OK. Most podcast apps are unnecessarily complex, convoluted and cumbersome to me, so take my opinion with a grain of salt.
Lately I've been testing Media Monkey - it's primarily an iTunes-like app for Android. It indexes your own media store, and can sync whatever you choose to your phone. It also has a podcast tool in the desktop app.
Downside is the podcast portion doesn't seem to have discovery/search like you'd think with a podcast app - you have to manually add the RSS url yourself. Plus to get wifi sync (which is critical to me), you have to buy both the desktop ($35) and Android app ($5). I get it, development isn't free, and wifi sync really works. I don't buy many apps, but I paid for both parts of Media Monkey, because I haven't found anything else that provides media management, playlist, and sync.