I think a common example is any site that requires authentication will need to store some kind of session cookie in the browser. I suspect many news sites have

I think a common example is any site that requires authentication will need to store some kind of session cookie in the browser. I suspect many news sites have subscriber accounts that you can log in with. Many subscription news sites might consider the "how many free articles has this visitor viewed this month" to be a strictly necessary cookie, but that's just speculation on my part.