I am having the same problem as everyone here too! (Browse not working!)
I have read through much of the responses here (complaints since last April 2019, and now it's the 1st of Sept. 2019) and it seems that Apple doesn't care about giving their customers complete service.
Also, I read about a new type of music service, really? Had no clue about this until now.
I guess Apple thinks all their users have cult-like mentalities and follow every novel thing they are doing, but the T is that we do not. We have to tend to our businesses (both occupational and personal). Well my occupation IS in music, and I use the iTunes Browse to help me listen to songs for my business and logistics; the convenience of being able to sync all my apple products and app, etc. That's why I -- and a many others-- have a iMusic subscription, for convenience.
(BTW iTunes newer versions for the iMac have suck a big DEE-yuck since it tried to turn all minimalistic with its format! So very user UNfriendly!)
So, how to deal with this inconvenience, do I just move on to SPOTIFY or TIDAL? It's September 2019, and where the duck is this new system (Catalina?) I just read about?
Get it together, Apple.