Why can't I select tracks in Apple Music?
The problem is indicated by the track names being grey.

Something is preventing your device from connecting to the store.


Try another network connection
Try on cellular data
Try powering off phone
Ensure that you were allowing cellular data to playback iTunes music from the cloud
once you've ruled these out, consider filing a bug or feedback to Apple


You will know that you solved the problem when you see the track names in bright white just like the rest of the text on the page. Compare the shuffle text with the first track name in your screenshot for example.