To answer the question, this service doesn't exist in any other country I've lived in -- Canada or Japan, in my case.
Even as an American I used to think this, but because I grew up in a large city where all mail collection was from a mail box at the corner of the block. It wasn't until I moved to a sprawling suburb did I have my own mailbox at the end of the driveway and I got to use that little flag thing for the first time.
In Australia, you post something by putting it in a post box, they're located in shopping areas and have specified collection times, usually daily on weekdays.
Of course, you can also go into the post office and deal with a human who will take the postage $ as needed.
These days, the number of times I've posted something can be counted in low single digits per year. Mostly dealing with government forms that need signatures because stupid reasons.
There is doorstep letter and parcel collection for less than a dollar.