As far as my country is concerned there is no bank that accepts bitcoin and I don't see it happening even in future as the government of my country will never allow that to happen.
Bitcoin is a threat to banking system and also to fiat money and government is well aware about it and no government will allow any digital currency to replace their national currency.
A japanese bank called MUFG and Hitachi Ltd. are work together to start project that called "proof of concept" to build thecnology bitcoin blockchain for create digital bank system, I think they will create their own altcoin. Anyway I do not need to save my bitcoin in bank I have my own wallet.