Are there banks that don't? I haven’t come across a bank (in South Asia at least) that didn't have the option (and encourage you to use it) to receive statements as password protected pdfs.
Here in Australia, I get an email when I have a new statement ready. I have to log in to their website to download the PDF. Its pretty annoying, but I suppose it keeps me safe from things like this.
Similar to the system that my bank in Sweden uses.
American here. This is what my bank does as well. No account statements sent directly via email.
A password protected pdf has an important characteristic your e-mail doesn't.
My bank statements still come in the mail, I live in the eastern US. ;-)