It is the functionality, not the catalogue of music that matters
Most of the music services have a similar extensive catalogue of music and provide a 'radio' function that allows you to listen to a random selection of artists based on your likes. But few go beyond that, and this is where Apple Music could have its opportunity.
Take Spotify, which has no fuctions to browse artists and albums by genre and subgenres, or an easy way to save music in your own playlists. Google Play Music had both of these functions, but in a bizzare move has recently decided to remove it genre/sub-genre browsing functionality. Microsoft Groove does include this functionality, but does not cater for sub-genres.
The other area where Apple Music or any of the other competitors can create a difference, in allowing users to collaborate on music likes and reviews. Currently this is typically limited to posting on Facebook or sending someone a message with a link to an album. Picture instead a music review + rating function similar to Rotten Tomatoes integrated with any of these services. Now that would make me want to sign up.