Thoughts and criticisms. The 3 dots that are tapped to bring up options like add to library, download, etc is still a little disappointing. I was hoping with the new app, this "overflow" button would be updated to include jumps to the album or the artist. Instead, if you are listening to a song from the radio and you want to go find the album to listen or add to your library, you have to search (and type things out). Other services all have options to jump straight to the artist or the album. I've grown used to it!
After listening to the Beats 1 station for a bit, I was hopeful that the radio sound quality would be improved across the board. My largest complaint with iTunes Radio since it released was I guess what some call server side volume normalization that causes all the stations to sound muted and decreased in sound quality. Beats 1 doesn't sound like it, but every other station I've listened to still does.
Also, just a nit pick, but some stations have the star button where you then have to choose "play more like this" a la the old iTunes Radio while other stations, like Beats 1 and the new stations use the heart to "like" the song and there are no options that have to be tapped after tapping the heart. Hopefully this will be the way of the future, although the option to play less like this is nice too. Just pointing out it's not consistent yet.
I like the view screens like the screenshots captured above. It's like looking at the artist in the iTunes Store.Nice, but takes time to load.
Overall I think this is a good update for Apple but in terms of the competition, I think Rdio, Google Play Music, and Spotify all look better and functionally are easier and less confusing to use. I dislike it taking so many taps to just peruse the library. I wish the old way of being able to choose what buttons are along the bottom of the screen to navigate the library were still the way to navigate. Now it's like our library is buried behind one button ("My Music") with mutliple taps from there to sort and find the artist or album that is sough. The "for you, new, and connect" tabs are thrown right in my face and I will use those less but I can't take them away. I'm a big smart playlist user, though, and those aren't too many taps away so I guess there's that.