Top #1 in this category is Citi (NA). Reputable bank and jurisdiction. Too big to fail. Good for deposits and transactions. Streamlined and capable compliance. No paranoia of non-U.S. persons. Keeps adapting and evolving, even after being fined many times.
Before you commit, check if your country of residence recieves something back from FATCA which is the US equivalent of CRS.
Top 2-5 also go to U.S. banks. No real competition.
After a big void, top 25-50, maybe, we get︀ to smaller offshore branches of too big to fails in the non-CRS emerging markets.