UK driver's licence has my full home address on it. Come to think of it I think my Polish one used to as well.

My Spanish identity card has my full address. Not sure if the DNI does as well, or only the foreign resident version.

> And what do you mean by “us”?

US folks are pretty used to being able to up and drive across the country with a suitcase, without filing any paperwork (at least till the taxman comes knocking next April)

Have to get your vehicle registered in your new state as well (if you own one) as well as your driver’s license. God help you if your vehicle is towed and your license/vehicle is not registered in the current state. Absolute mess.

I ask you about drivers license, you tell me about the national ID.

You did not ask about driver's licenses. You asked about "document I have on me".

Many people in many countries carry their national ID card in instances where Americans would carry their driver's license.

(And, to be clear, if you are American and drive, your driver's license contains your address.)

Germany has the full address the ID card and the issuing office (containing the city) on both the driving license. They are also digital so who knows what they also store on them.