I read recently, that Bitwala, an exchanger in germany is planning to provide a crypto based bank account.
https://www.bitwala.com/And I think, also traditional banks will jump on train.
Wirex, the ones that used to provide Wavecrest bitcoin cards, have also plans to offer currency accounts, although they are financial service, not really a bank.
100% Bitcoin friendly. And Bitwala is also just a financial service, not a bank. (Not an issue for me, just let's be correct)
And with Wavecrest issue, I think that many of the Bitcoin card services could go in that direction too (provide real account and their own card), to make their business get better chances to survive.