Hello Jason Yuan,
I like your improvement ideas — especially the more natural interface with the bounciness, the brand identity, the updated font sizes and showing a unified view of the local and the Apple Music library when searching. What about showing songs that are not streamable but in the iTunes Store available for purchase? I think it would be convenient if the search could reveal those as well?
I posted some of my ideas on my blog in case you are curious. I would love to hear what you think about these.
Roland