There is Blendle, but I hate paying per article — it places a restrictive barrier on freely browsing articles. Blendle also misses a lot of quality newspapers (like the Dutch NRC).
Haven't used it recently since they hadn't too many of the articles I wanted && I have a sneaking suspicion that refunds aren't as easy anymore.
I'm genuinely intrigued by the promises of that service, but I'm not willing to pay $1000+ for hardware to access it.
The monthly cost of most things that may be of great utility is astonishingly low when you think of what tonight's meal (and I mean ingredients, not eating out) will cost, IMO.