Do you use a read-later service like Instapaper or Pocket? Click, save, ignore. Now you can have those unread articles printed into a real newspaper, which will land on your doormat just like in the olden days.
Save articles in the browser with a bookmarklet, then click to order the paper version, which will be printed at your demand and delivered to your door. Right now the service is U.K.-only, and invite-only, but it's supposedly expanding to other countries soon. £5