@Preuk I just found the Swiss Web Archive! But I assume only people of interest will get added, not ordinary citizens.

“The Web Archive Switzerland collection is being built up in partnership with the Swiss cantonal libraries and other interested institutions. The identification of websites and their preliminary indexing is carried out by the partner institutions. The NL is responsible for collecting the selected websites, listing them in Helveticat, archiving them and making them available.”
https://www.nb.admin.ch/snl/en/home/information-professionals/e-helvetica/web-archive-switzerland.html