Yes, if you're tired of seeing all the Apple Music features and hype, you've come to the right place. Here's how to minimize Apple Music on your Music app.
1. Go to Settings > Music > Toggle off "Show Apple Music".
This action gets rid of the "For You" and "New" tabs and replaces them with a separate "Playlists" tab. Apple Music is gone.
2. Next head to Settings > General > Restrictions > Toggle off Apple Music Connect.
This gets rid of the "Connect" tab.
So now you have 3 tabs in your Music app. "My Music", "Playlists", and "Radio".
I haven't found a way to get rid of Beats 1 radio yet, but u'm looking.