Pocket can do this quite nicely, you have to send articles to it, but I use feedly which has imported all my Google Feeds, and as some of them only put snippets in the feed, or I really just don't have the time, but don't like my feed to get too big, I just send it to pocket, it pulls down the full article from the site, including images, yet excluding any adverts or something, a pure reading version of it, to the device which is offline capable.
Not sure if its 100% what you looking for, but it is the closest I have come, you will also begin seeing "Send to pocket" buttons on websites and you can install a plugin to your browser to do it for all other sites. I do that quite often too as I enjoy reading on my tablet more than my scree as I use the inverted mode with pure black in pocket. White text on a black background just works better for me, also it takes out all the silly distractions of the site with the dozen or so adds and overly colourful backgrounds that MYBB loves to put on the dam site, more advert than article most of the time.