Oh dear - just realized pressreader does not make it clear at all what they do on their website. They give online access to 5.000 print publications from all over the world and charge either per single issue (0.99£ in my case), or 29.99£ per month to access all of it. So it seems to be pretty close to what you are looking for. https://en.wikipedia.org/wiki/PressReader
Downside: A lot of the publications are insignificant/ very similar to each other. They do have some good ones like the Guardian, but I'm still missing some personal favourites, so haven't joined yet.
Downside: A lot of the publications are insignificant/ very similar to each other. They do have some good ones like the Guardian, but I'm still missing some personal favourites, so haven't joined yet.