What the industry desperately needs is some distributed payment platform. Maybe you sign up for a subscription clearinghouse for $50/month. The service then distributes your subscription funds to the dozens of different news websites you visit, in proportion to the amount of time spent on or stories read from each.

This is basically what Apple News+ is, which includes quite a large set of newspapers and magazines and their back catalogues.

Also, various libraries will include some sort of mechanism to access a small set of news subscriptions as part of their digital offerings.