Internet radio is great, you can listen to stations all over the world. You may wish to save some programs. I have been doing this for a while from my Linux workhorse. I recently looked into doing this from an ancient Raspberry Pi 2B. It took a couple of battles with the DietPi distro and the mplayer packages, but it's done. Here are the articles I wrote in my technical blog:

• Recording Internet radio with mplayer
• Installing mplayer on dietpi on Raspberry Pi