@Vyacheslav, You can find many information regarding the issue about the banks in Serbia! Some of them are domestic, but I am not aware of non-profit banks!
Banks, I think , can not be non-profit making whether pubic or private. Banks, no doubt, are in service sector but certainly aim at making profit by meeting the needs of public/corporate effectively. At least, in India, all banks (public as well as private) are commercial banks, according to my knowledge.
I am doubtful about the ADB(Asian Development Bank), WB(world bank), AIIB (Asian Infrastructure Investment Bank) etc.
The UK's first not-for-profit bank was officially launched today, in an attempt to boost the developing market of social finance.
Charity Bank, the brainchild of the Charities Aid Foundation (CAF), has been created on the back of CAF's social loan fund, Investors in Society. It is thought to be the world's first non-profit making bank that lends to the charity sector.
It will make "affordable" loans to charities that find it hard to access mainstream finance from high street banks. To pay for those loans it will seek deposits from people wanting to use their wealth to benefit others. As a registered charity, all its operating surpluses will be reinvested in the charity sector...