It's interesting that you described the concept of milkmen as specifically relevant to the U.K. In the United States, milkmen are well-established in pop culture, particularly as a quaint symbol of pre-WW2 domestic life. I would have assumed that milkmen were standard in most every developed country before refrigeration became widespread. I also would have assumed it's still common in developing countries.
I was replying to somebody who was talking about the situation in the UK, and the knowledge I have of milkmen is from the UK - I didn't mean to imply it was necessarily unique to us.