Anything that you don't want to be published on facebook, just don't do it on facebook. So that article you want to read privately, just go to news.google.com and read as much as you want. Don't use the facebook app for that. Same thing, if you want to listen to spotify, don't link it to your facebook account, etc...

This is how things have been for years, and if you are a more private person (like me), just reading news and listening to music "offline" and go to facebook when you feel like sharing.