Why would this be of any advantage? I can see where you're going with sending money and having it instantly converted to cryptocurrencies, I don't think something like that exists and it could be useful to many, however the rest you want you already have.
Although discouraged, you can save funds on the same address. Even if you have funds on several addresses, there are wallets that allow you to have things neatly organised...
Another reason it would be an advantage is that using conventional style bank account numbers is a recognizable format for the general public. At the moment you have these weird Bitcoin public addresses which don't make sense to people, they make it seem cryptic and complicated and they are hard to use. There is also the risk of mislaying or losing funds because of the complexity. Bitcoin needs to become more useable for the public if there is to be more take up.
What I'm getting at here is creating a peer to peer bank running on a blockchain. Managing just Bitcoin transactions initially perhaps, then later on other currencies as well, and with full connectivity to the mainstream banking system for seamless transactions in both directions.