Credit cards aren't any more popular in the UK, but our debit cards tend to be Visa/Mastercard and we use them the same way. I think mainland Europe has some catching up to do to London as far as being a cashless society :)

I would say the opposite is true: If you need Visa/Mastercard, your country's banking system is broken. Sending cheques via physical mail is something nobody would even think of over here. I think I have never even seen one.

Amazon.de e.g. offers the choice of * credit card (as internationally) * direct withdrawal (meaning you give them your bank account details and they withdraw the amount directly - sort of sketchy from the customer's point of view, but no different from credit cards - if anything goes awry, you just challenge the charge directly with the bank instead of the card issuer) * bill-based (generally only for small amounts or trusted customers - might involve a "credit score" check from Schufa (https://en.wikipedia.org/wiki/Schufa) to deter fraud)