@PJ_Evans @JamesGleick Sometimes they have one week/month/whatever free, that sort of thing. And if you cancel at the end, sometimes you get the option to re-up cheaply or a further free period. You do have to put up with spam in your mailbox, though.
Also, you may get free access to a lot of newspapers through your library's portal. If you live in the kind of place that has an awesome public library system.