For the purposes of this discussion, I'm not sure it matters which banks are 'safe' -- if you have a deposit with them, it's most surely covered by FDIC. If you have an account at a bank whose deposits are not insured by FDIC, please close your account today. If you have more than $100,000 of deposits at an FDIC member bank, consider opening multiple accounts at different banks. I hear you can get a nice toaster for opening up an account somewhere new :-)
Most banks that fail are small.
http://www.fdic.gov/bank/individual/failed/banklist.html
/jordan