For brick and mortar I bank with TD Bank, but I’m also taking advantage of EverBank’s nice money market interest rate at the moment. TD Bank is a bit behind the curve in terms of technology. I hear with chase you can deposit a check but taking a photo of it with your phone. If they have a decent checking/savings acct I might switch.
AIB (Allied Irish Banks), Im just bracing myself for when I have to run down to the ATM to withdraw all my cash before it collapses, of course the Germans will never want to see that.