http://www.kalzumeus.com/2014/11/07/doing-business-in-japan/ (ctrl-f for "Taro", read about his banking relationship manager)
There are still banks in the US that operate like that in principle, if not in degree - no exotic products, strict adherence to traditional corporate lending standards, extensive knowledge of their customers, and a culture ingrained first and foremost with personal responsibility to the soundness of the local economy.
Best example I know of is First Hawaiian Bank [1], having worked there a few years. It is actually the longest continually-running bank in the US, having been founded in 1858 and survived every major depression and financial crisis since. They're not on the bleeding edge of tech or quantitative finance, but that's one of the things that saved them from being a victim of the financial crisis (aka, the Battlestar Galactica of banking).
Other banks like that scattered around the country too. You can start some research with the various bank rating sites:
http://www.bankrate.com/rates/safe-sound/bank-ratings-search...
I've been thinking of a few non-profit startup ideas to combat this widespread corruption problem, but its nothing I'd want to discuss publicly in case I actually pull the trigger on it and desired to remain anonymous. I think you're thinking down the right highway of thought though.