What I enjoy is having folders like Documents, Videos and Music, and being able to copy documents, videos and music into them, rather than having everything stored in app-centric folders which are hidden from me. What I like is not having to use a horror story like iTunes to copy video files, ePubs and music.
I bought a Nexus 5 and 7 last year, handed my iPhone to my daughter, and have never looked back. The Nexus 5, in particular, is just a little over half the price of a a comparable iPhone and is a helluva lot more usable. And if I really need something from the iTunes store, like the upcoming Pink Floyd record, I know I'll be able to play the music on my Android devices.