For a personal bank account, the requirements have increased recently and we expect account opening to become gradually harder in the future.
The essentials of opening a personal account:
Basic KYC questions relating to your personal wealth, sources/amounts of income.
Relevant proof relating to income and wealth (in some cases). This can be in the form of employment or service contracts, proof of foreign pension or inheritance, proof of business income, of an investment portfolio, etc.
For US citizens only, full compliance with the FATCA agreement, including sharing of your IRS information.
This is not an exhaustive list and the bank has the right to refuse account opening without providing a reason. You do not need to be a resident of Georgia and, at this time, proof of local address is also not required.