Are these on a service that connects to Sonos? Or perhaps you might be able to add them as an individual ‘radio station’, using the information in the  setting up an internet radio station FAQ ? Or, you could access them on a different device, and feed the data to a Sonos line in, if you have such a device? 

These are stations that are only available on Sonos Radio. I can easily lfind them and play on my new system but cannot find any on my old system with S1. That’s the weird part. 

That is weird. I’d probably call Sonos Support directly to discuss it.