I came across a very good list of news websites and which are served over HTTPS: Secure the News. In my opinion, everything should be served over HTTPS.
The old argument against HTTPS included: “It’s too expensive to buy SSL certificates”, “It’s too hard to update SSL on my server”, “SSL uses too many resources.” Those arguments don’t really matter anymore. I’ve been using Let’s Encrypt for a few weeks now and absolutely love it. It’s free, easy to use, and for most sites won’t slow it down.