1. Russian interference in the election and the fact that FB knew about it and did nothing.
2. FB running psychological experiments in the newsfeed not only to see if they can make you spend more time there (questionably ok) but also to see if they could affect your mood (definitely not ok).
3. Facebook censoring news in the newsfeed based on political leanings.
4. FB tracking you even after you log out.
5. Zuck lying on capital hill about what he knew and when.
6. FB hiring a pr firm to right negative articles about an investor.
Also to be clear, even if Murdoch was the catalyst for the media turning a critical eye on FB, which is at best unsubstantiated conjecture, it is undeniable that very valid, very concerning stories have been revealed as result of the media's renewed scrutiny.