Re. music. A few issues but primarily it falls down with its artist>album view. Selecting an artist used to then show all albums with the option of selecting the one you wanted. Now, selecting the artist displays ALL songs by them under the heading of each album. Thus, an artist with lots of albums shows a list of potentially hundreds of songs, meaning scroll scroll scroll.
"Scroll scroll scroll" puts it mildly. With my Dream Theater collection that has currently 241 tracks from studio albums and live albums it's more like "Scroll scroll scroll scroll scroll scroll scroll scroll scroll scroll scroll".
Another annoyance (albeit a minor one) is how playback ignores album borders. After an album ends, the app will automatically start playing another album. Previously, I was used to just taking my headphones off when an album ends. Now I need to take my iPod out of my pocket/bag/whatever, unlock the device, pause playback of an album that I never started to begin with, lock it, put it back.
Yes, it's minor and I understand that Apple doesn't release a 7.0.3 update just for it, but it should get fixed by 7.1.
A bigger problem is how the app ignores the "album name sort" tag. It sorts albums chronologically, which is fine for popular music, but doesn't work out for classical music.
Whatever sorting order Apple imposes by default, you should have the option to set your own order via the order tag. I like chronological for popular music and alphabetical for classical music. Neither default setting will do it for me, I need control back via the sort tag as I had in iOS6.
And one last minor, cosmetic problem: the "now playing" screen shows meaningless track numbers. It doesn't show the current track's position in the album, but rather an "overall" number composed of all tracks by the artist. When I listen to the third track of a ten track album, it doesn't show "3 of 10" but rather something like "172 of 231". I don't really need the counter, I can live without it, but the current broken counter is annoying. It should either be fixed or removed altogether.