Websites new to our list for 2021 are indicated by an asterisk (*). Sites marked with a dollar sign ($) require a subscription or other payment to fully take advantage of their content; otherwise free sites that have some sort of premium tier or paid add-on have this noted in the write-ups.
Search censuses from 1787 and probate indexes for four counties, then follow the link to the invaluable Copenhagen Police Emigrant Protocols. (For the latter, select English from the language drop-down.)
This site from the National Archives of Norway is adding digitized records at a rapid clip, and now includes parish records, censuses, emigration lists, and land and probate papers. A global person search and “find source” options make it easy to research in records both indexed and otherwise.