You could probably hack something very simple together with a kindle + email. Construct an ebook of top stories / headlines and email it to your kindle account, all the syncing/etc is then handled for you.
http://blog.calibre-ebook.com/2011/10/custom-news-fetching.h...
A very cool feature, but ultimately not very practical.
The automation side wouldn't be too difficult either.
It looks like the Himnull project is fairly close, but most likely on the thicker side since it's using a pi.
[1] https://hackaday.io/project/16194-himnull-a-raspberry-pi-e-r...