Library
Artwork, album order, multi-disc sets, artists, genres, and search results.
Headroom for Emby
Emby shares most of its plumbing with Jellyfin, so the whole player works with it. I've had far less real-world testing on Emby servers, though, and I won't list it as supported until that changes.
What to try
Sign in the way you normally reach your server, browse and search, play a few tracks, seek around, put the app in the background, download an album, relaunch, and check that it plays offline.
Artwork, album order, multi-disc sets, artists, genres, and search results.
Title, artwork, elapsed time, queue order, pause, seek, and the handoff to the next track.
Remove and re-add the server. Nothing from another server should bleed through.
Send a diagnostic report from the app. It includes the failing request without your credentials.
Read this first
Emby is in the beta so I can find out whether it holds up. If it doesn't pass cleanly on both iOS and Android, it won't be listed as supported at launch.