Things I wish Apple Music had:

A dedicated button to add songs to your library, something they removed since lyrics was launched.

Ability to see singles as a separate item and not them showing up in the albums tab in my library.

Cloud control. The ability to control songs on multiple devices from one place by showing them as available devices to play, sometimes Spotify does currently.

Ability to swipe the album art or the song info in the minimized view to skip a song or go back to previous track.

Ability to see the song writers and producers.