I may be changing ASAP. In one of my accounts that I never look at (because I assumed that it was closed), they had $250,000 in bond transactions from another person ... with my name. Unbelievable.
I use Schwab and haven't noticed any problems but I don't check my accounts very often. After hearing that I'm going to check it right away.
I highly recommend it, because this is no joke. They have all of my info, including my SSN on that account.