My personal gripes with the Music app comes from the many taps and menus it takes to get to Curated Playlists not located in the For You tab for when I just want to discover some new great music (Spotify has this on lock whichever way with Discover Weekly and daily playlists that comes up on the home screen waiting for you and your music tastes). The New tab is always filled with hype tracks and while sometimes those are good, most of the time it's not, just hyped stuff Apple Music is pushing and I'm not interested. I wish that tab could be changed simply to Curated Playlists from the various publications they've gotten to create playlists. Secondly, these playlists are crazy short. My Spotify Discover Weekly playlist is over 90 minutes of new music, deep cuts, and old favs. Many of Apple's are 12 tracks that while may be cohesive, is done in about 30 minutes and you'll have to find another. That needs a change.
I find myself using Siri a lot to play things I know I want to hear so I don't even have to enter the Music app, which keeps me from being mad at it before I drive or when I'm lesson planning. Nonetheless, this app needs at the very least customization features to allow us to tailor it to what we want to see vs. what Apple thinks we want to see.