Sleeve on MacOS, last.fm app on iOS (have to manually check for new scrobbles every so often and it only counts songs from your library) and a web extension scrobbler for when I’m on Linux using the web version.
I wish Apple Music would support scrobbling to the Last.FM API like Spotify, but to get the ball rolling we'd need someone on the Apple Music team who can nudge it up the list.
Does anyone have a setup they're happy with for scrobbling from Apple Music across different types of devices?