Revolut and many other apps allow creation of accounts from the app per local regulations. It may require SSN in the US to complete sign-up, but it's all done through the app and is immediate.

The account falls under all the regular retention and reporting requirements, although these companies mitigate some classes of issues with stricter limits, not paying any interest (even though that'd be miniscule), etc.

Any bank in America for the last 20 years. I opened my very first account at the branch cause I though they need to see me. Dozens of accounts at multiple financial institutions after that I never had to go to the branch. Most of my accounts held at places that don't have any branches within hundreds of miles.

In fact Wells Fargo is famous for opening account for you without you even thinking about it.

I signed up for Schwab (and numerous other financial institutions that were not "banks" per se) without having to go to a branch in person. You usually just submit photos of documents and, in some cases, have your picture taken at your computer.

Monzo.

Digital-only, but a "real" bank in every sense of the word.

I think most major brick and mortar banks allow you to open account fully online.

Try going to random bank websites and click on "open account".

ANZ Bank, in Australia - and I'm assuming the others of the Big 4 do as well (CBA, NAB and Westpac, that is). It's been added to the App for some account types over the past year or so.

All major banks let you create an account without going in to a branch now.

I know at least two swiss banks.