This section of iTunes is controlled by Apple and you can neither add nor subtract streams from it. Step 2: Understand that you can add your own streams to the iTunes Library and then create playlists to hold those streams. To do so…. Step 3: Travel to Shoutcast and find stations you wish to stream to your computer. Step 4: After locating a desirable stream, click the Tune In! Do so. Step 5: Your browser may automatically add the playlist to iTunes and start streaming the station. Some terrestrial and Internet radio stations offer. Step 7: Once your stations are in the iTunes library you may wish to create new playlists that contain them—organized by all the stations you possess create a Smart Playlist and use Kind Contains Audio Stream to grab them all or by genre.

Open Radio, then start listening
Macworld Categories
You can use Music to listen to radio stations streamed over the internet. Music can also play many types of audio files available on the internet, including spoken programs. In the Music app on your Mac, click in the search field in the top-left corner of the Music window, then enter a word or phrase to find an internet station you want to listen to. To tune in, click the Play button or use the Touch Bar on the station.
iPhone User Guide
Listen to Beats 1 to hear a live global broadcast hosted by the biggest names in music. Or tune in to a local radio station. Tune in to enjoy live shows hosted by renowned artists and DJs, exclusive interviews, and discover new music from around the world.
Internet radio was a wonderful idea decades ago when radio stations first tentatively entered the online world and offered often quite low-bandwidth streaming versions of their broadcasts. It also provided a way for those without a radio transmitter to set up an online station with which they could reach people with words, original music, and recorded songs. Apple included an Internet Radio option in iTunes for nearly two decades. A directory of streaming options, broadcast and otherwise, it persisted until macOS The new Music app omits the Internet Radio directory, although it can still play online streams—and import playlists that contain streaming URLs from previous versions of iTunes. An Edit button appear. Click it and then check the box next to Internet Radio and click Done. Export a playlist of Internet radio stations from iTunes in Mojave left and import them into Music in Catalina right.