Good evening zim_the_invader,
Welcome to the Apple Support Communities!
If you are only wanting to see music that resides on your iPhone, try these steps:
- Open the Music app
- Tap the Library tab in the lower-left corner
- The list of categories in the Library appear in red, starting with Playlists.
- Scroll down to the last category on the list and tap on Downloaded Music
- There should be a grey bar at the top of the screen stating "Showing only music on this iPhone."
iPhone User Guide - Library
The Library tab includes any added or downloaded music from Apple Music, music and music videos synced to iPhone, TV shows and movies you added from Apple Music, and iTunes purchases.

Browse and play your music. Tap a category, such as Playlists or Albums, tap the album art, then tap
.Tap
to shuffle the playlist or album. Tap the player to show the Now Playing screen.
3D Touch. Press the album art, then tap
. See 3D Touch.
Sort your music. Tap Playlists, Albums, or Songs, then tap Sort.
View more categories. In the Library tab, tap Edit, then select additional categories.
View only music stored on iPhone. In the Library tab, tap Downloaded Music.
Play music shared on a nearby computer. If a computer on your network shares music through iTunes Home Sharing, go to Settings > Music, then tap Sign In under Home Sharing. Return to the Music app, tap the Library tab, tap Home Sharing, then choose a shared library.
Remove Apple Music songs from iPhone. Go to Settings > Music, then turn off iCloud Music Library. The songs are removed from iPhone, but remain in iCloud. Music you purchased or synced also remains.
Take care.