Subscription models. Some sites even combine some free articles with it, so that anyone can look into their works, but not necessarily everything. If it fits you, you get a subscription. Sort of the same way people would pay for their daily newspaper.
It can be argued that “news” should be free, and there are some news site that are basically picking up AP/AFP/whatever and repost these, but actual journalism do requires work.
That sounds like a lot of work. On sites where that work (which is not all of them, some are made by competent people), firefox “reading mode” just do the job.