The Italian way looks similar to the Swiss way. In detail:

When I go to cast a vote in Italy I bring with me my state issued photo ID (everybody has one, I mean: must have one) and a state issued sheet of paper with the address of the place I must go to vote and a grid of empty spaces. I don't have to register to vote, basically I'm registered at birth. The people at the polling station take my two cards and look for me in their registry. They mark that I came to vote, stamp an empty space on the second card and handle me the paper ballots. I think that in this way it's both anonymous and verifiable. When the card with the stamps is full, they mail me a new one.

The state definitely know where people live. Babies are registered when they are born and people have to register any change of their address of residence. It's been like that at least since Italy became a country in the 1860s.

By the way, how do I know that they counted my vote as I cast it? I can't know it. I must trust that they did not open the box and replaced the ballots, but people from the several competing parties visit the polling station and can attend the counting. I trust that process much more than something happening inside a computer program.