Does anyone on here think that there is ever going to be Bitcoin Bank, be it something which is centralized or something which isn't really doesn't matter. But I'd think of this as a company, or a union (like one of those credit union banks) where loans would be given out to people with trust, money is held, and so on and so forth.
I know many think that they can escape banks, but they are insanely helpful and trustworthy for many everyday people who we'd want to join into the BTC community.
With respect to lending services, I cannot really say about that for now which is why we will keep having banks. However, there are P2P lending services once you have a collateral and there are some projects coming up in such areas, so can we have that? Yes we can!
However, some exchanges are already operating like banks, since they must adhere to the country's regulation policies so bitcoin banks are already here unless you want to keep going the direct P2P way without exchanging to fiat.