Click the CD icon, gets you to all versions (non library included if you have a streaming subscription) the Books get you to all the versions you have in your library (without a streaming subscription I think does the same as the CD button)
The movements get listed as a sublist under the piece title, I think the only place where actually you can see the numbered movements it is on the now playing screen (but you do not see the list, just the playing one)
Clicking the heart saves them in the compositions (Never tried just for a part)
Clicking time, playcounts gives a quick menu (blue)
Clicking the dots it is a longer menu
I think some of those menus you can customise in the settings
100% agree a list pdf it would be useful. maybe you’ll post your list 