Sure, here are some popular alternative music playlists on Apple Music:

1. "Alternative Hits: 2021" - This playlist features the biggest alternative songs of 2021.

2. "The New Rock" - This playlist showcases the latest in rock and alternative music.

3. "Breaking Alternative" - This playlist features new alternative music that's trending.

4. "Alternative Replay" - This playlist includes the biggest alternative hits from the past.

5. "Pure Alternative" - This playlist features a mix of new and classic alternative music.

6. "Alternative Workout" - This playlist is perfect for those who want to listen to alternative music while working out.

7. "Alternative Chill" - This playlist features alternative music that's perfect for relaxing.

Remember, playlists are updated regularly, so keep checking back for new music!