Update:
-- Now tagged as compatible with version 1.6.

@McLets
Ahh I see! The music mods you are looking for are:
Alone and Cold Music Pack
Signalis Soundtrack
Barotrauma Music
Frostpunk 1 + 2 Soundtracks
Warhammer Darktide Soundtrack
Warhammer Mechanicus Soundtrack
Little Nightmares Main Menu and Credits Music Replacer

what music are you playing in this video, then? https://www.youtube.com/watch?v=Qncl4wlQZz0

it's quite hard to look through your mod lists

@McLets
This music only plays when Anomaly events are occurring. If you remove all of the music without having another music mod to fill in the soundtrack, nothing will play because there is nothing to play. If you want the Little Nightmares soundtrack to play at any time, I recommend my other mod Little Nightmares Soundtracks Compendium which adds the tracks to the vanilla music playlists.

how do you remove vanilla music? I used the mod "remove Vanilla music", and it just stopped any music from playing, including from this mod.

Update:
-- Just a small tweak eliminating the strange feature from the Anomaly music system which halves combat music volume when paused.

Now updated with an in-game mod icon