Some newspaper provide subscribers with the PDF version of the printed edition. I subscribe to the WSJ and find reading the PDF instead of the website a more focused, tranquil way of consuming news. Awkward as PDF is on mobile devices, it allows having a "bird view" of today's headlines, by which you can pilot or dive in freely. If the newspaper of your choice doesn't provide such service, you may try access PressReader with your library card; lots of newspapers have digital replica hosted there.