IS there any Bitcoin Bank that really works like bank that provide interest for customer that available in this world?
The way your topic started is not the best one, since quite a lot of bitcoiners hate even the word "bank", not saying the idea of keeping the money centralized.
But you have a point there. Some sort of online wallet service where you have options to select how often you can access your funds (like the deposits in ... you know where) and which will use your money as it wants to, but giving you a (small, but guaranteed) extra income may be an interesting idea.
There is, though, a problem:
while ... some institutions that do this on fiat are guaranteed by the state (I never understood why should the state interfere in contracts between private companies and individuals, but that's another issue),
the ... "online wallet" in question cannot really offer a guarantee, it has a good change to be a scam or get hacked.
If you want to invest, there are already some ways, like "invest in bank" on some gambling sites (may be risky) or lend on some exchanges (may need some of your time).