15 minutes of web searching for this mythical list of problme banks leads me to learn that the FDIC does not publiish the list.
Of course not. It might cause people to worry about their deposits! So, we have to protected from our own self-interest.
It is always the most critical information that is hidden. One site did say I could pay for bank quality/soundness information. Lovely, that won’t exacerbate inequality in America or anything.