Apps with 'Download podcast as mp3' feature
Strawberry is a music player and music collection organizer. It's written in C++ using the Qt 5 framework.
With Podcast Addict, manage all your audio & video Podcasts, Radio on Demand as well as your YouTube channels and RSS News feeds from your Android device.
PodParadise allows users to easily listen to any of their favorite podcasts from any browser they prefer.
Point MP3 is a website that allows downloading and conversion of YouTube videos to MP3 songs. It is a legal platform since it does not store content and converts files that the user holds rights. It's free service and you can download as many videos.