There is no official bitcoin bank because it's still problematic with the state regulations but we can meet many bitcoin atm, you can search it in google search. But unfortunately in my country the popularity of bitcoin atm is not as big as bitcoin transactions via smartphone so it only looks as display only, but unconsciously atm became the second identity mascot after exchange bitcoin market in every country bitcoin community.
The Bitcoin ATMS are actually for buying bitcoins into your wallet and they don't save your bitcoins for you as would be in the case of a bank and so it's totally different from a Bitcoin bank because your wallet itself is your bank with funds when it comes to Bitcoin.
Yes our wallet is Bitcoin bank, and we withdraw money from our wallet. I know the bitcoin ATM's are there in some country and people are withdrawing money from Bitcoin debit card. But I do not understand how this system will work and how the banks will consider this transaction. In bank statement this transaction what it will be named? Like this many doubts, I have in my mind.
I think what OP were trying to say is the real bitcoin bank, I mean like the bank where we are storing our fiat, but, the real question is, would there be any in the near future? I.e. Let's say yes, there will be Bitcoin bank in the future, however, I guess it is not worth storing our bitcoin there if that bitcoin bank will function like the fiat bank that we do have nowadays.