Hi z209,
Thanks for reaching out in Apple Support Communities. I understand you're having trouble accessing and playing Apple Music that hasn't been previously downloaded to iTunes on your Mac and you're having trouble on your iPhone as well. I also see that you've noticed a message "making your iCloud Music Library available" but it never completes. I know it's important to have access to songs you haven't downloaded, I'd like to help. I'd recommend using the steps below on your Mac:
On your iPhone, iPad, or iPod touch:
- Go to Settings > Music, then tap iCloud Music Library to turn it off.
- Close Settings.
- Go to Settings > Music, then tap iCloud Music Library to turn it on.
On your Mac or PC:
- Open iTunes.
- Mac: From the menu bar at the top of your computer screen, choose iTunes > Preferences and deselect the checkbox to the left of iCloud Music Library.
- Windows: From the menu bar at the top of the iTunes window, choose Edit > Preferences and deselect the checkbox to the left of iCloud Music Library.
- Close Preferences.
- Mac: From the menu bar at the top of your computer screen, choose iTunes > Preferences and select the checkbox to the left of iCloud Music Library.
- Windows: From the menu bar at the top of the iTunes window, choose Edit > Preferences and select the checkbox to the left of iCloud Music Library.
If you have content downloaded to your device, it deletes from your device when you turn off iCloud Music Library. After you turn iCloud Music Library back on, you can redownload the content.
If you're still having issues with iCloud Music Library, contact Apple Support."
Get help with iCloud Music Library
After you've followed the steps for iCloud Music Library and Apple Music on your Mac, use these steps on your iPhone and test:
Let me know what you find.
Best Regards.