I've used smile since 2004. It has an app which is fine, or I use the webpage which has more choice. I used HSBC before then which had a web interface, I vaguely remember natwest had special software for computer banking in the 90s, that might have been business accounts only, and potentially even was dialing direct to their systems rather than via the internet.

There are app only banks, you make your choice and you pay your price.