Oh, where do you live? You go to bank to print statement - seriously? I live in Berlin, and I never go to bank for anything banking - the popular Sparkasse netbanking works in all cases - online purchasing, rent payments, making transfers, printing statement(like you mentioned) etc.
And I do so many things on internet - getting internet connection, subscribing to electricity providers etc, and direct debit or online banking works here as well.
I have lived in Netherlands too, and I think NL is more efficient and has automated lot of things though.