Any other websites like "tunefind.com" ? to discover the songs played in movies/series?

open-source shazam

https://github.com/SeaDve/Mousai

https://github.com/keshavbhatt/music-radar

I put “Shazam” into https://alternativeto.net and selected the “open source” filter. Not sure how good they are.

The songs are usually credited on Imdb.

Maybe https://www.what-song.com/

If you're watching the movie, or just have ambient music around.

ListenBrainz (The Official ListenBrainz App) https://f-droid.org/packages/org.listenbrainz.android/

Hopefully you know of F-Droid.

Maybe Ambient Music Mod (Port of Now Playing from Pixels to other Android devices) https://f-droid.org/packages/com.kieronquinn.app.ambientmusicmod/ is of interest. I'm on a Pixel so not helpful to me.