My bank provides bill pay, but also "ebill" which apparently downloads the statements as well. I'm not sure how this actually works, does anyone know?
This seems to be the consumer website describing it: http://www.ebillplace.com/cda/ebillplace/index.html
The company that is collecting and transferring the data: https://www.fiserv.com/
It's not clear to me how I could download my statements, just by myself without using a bank and an intermediary.