Library: Browse and play your music on Apple TV
The Library screen in Music 
includes any Apple Music content and playlists you added, iTunes purchases and playlists you created, and music you make available through iTunes Match.
Note: You can subscribe to iTunes Match only in Music on an iOS device or in iTunes on your computer.
Browse and play music from your library
Open Music
on Apple TV.Swipe to Library, then select an option in the list to display your music in categories such as Recently Added, Playlists, Artists, Albums, Songs, and more.
Select a song to play it.
Browse playlists
Open Music
on Apple TV, then swipe to Library.Select Playlists, then select one of your playlists.
Select a song to play it.
In addition to playlists you create on the Now Playing screen, Playlists includes playlists you added from Apple Music, as well as those shared with you.
Shuffle songs
Open Music
on Apple TV, then swipe to Library.Do either of the following:
Play all of your library in random order: Select Shuffle All at the top of the list.
Play an album in random order: Select the album, then select the Shuffle button
.
Ask Siri. Say something like:
“Play Bastille shuffled”
“Play ‘More Rain’ shuffled”
See more options
Open Music
on Apple TV, then swipe to Now Playing.Press the Touch surface on the Siri Remote, then swipe up and select the More button
at the top of the screen to see more options.Playlists you create on Apple TV are added to your iCloud Music Library and appear on all your devices.