Sounds like you would consider the entire world dystopian then. I don't think there's any country, with the possible exception of a few failed states, that lets you have a bank account that isn't tied a real person.
You can actually do it in the US to an extent. Basically create a LLC with owners masked. Enable an authorized user to be an attorney and register with bank. Then use bank and routing number.
You can also use crypto and have a crypto wallet.
Prior to 9/11 it was far easier and widespread among elites to have effectively anonymous bank accounts.