We have a new feature up for beta testing, atom feeds galore!
There are a few pages where you can get a link to an atom feed. Look for the feed icon on these pages for a modal with a link to copy.
For convenience, these are the links in question:
Dashboard: https://beta.listenbrainz.org/syndication-feed/user/MY_USERNAME/listens?minutes=240
Entity stats: https://beta.listenbrainz.org/syndication-feed/user/MY_USERNAME/stats/top-tracks?range=this_week&count=10
Fresh releases: https://beta.listenbrainz.org/syndication-feed/user/MY_USERNAME/fresh-releases
Stats art: https://beta.listenbrainz.org/syndication-feed/user/MY_USERNAME/stats/art/custom
Recommendation playlists: https://beta.listenbrainz.org/syndication-feed/user/MY_USERNAME/recommendations?recommendation_type=weekly-jams
Playlists: https://beta.listenbrainz.org/syndication-feed/playlist/PLAYLIST_ID

Please let me know how it's working for you !