I just spent an unnessecary amount of time rearranging my "News" folder on Google Chrome.
It now holds a "US/World" folder containing Al Jazeera, Huffington Post, Democracy Now (mostly for the daily headlines video), msnbc, and the Chronicle of Higher Education. Some aren't the "best" sources (specifically the Huffington Post) but I like modern-designed sites that allow for a quick overview of what's going on. I didn't add the New York Times site for this reason.
There's also a local folder with most local news sources, a weather folder, and Playbill because I didn't know where to categorize it. I considered adding a "Misc." sub-folder and putting the Chronicle in there, but the folder is already really clunky.
While looking for sites to add I've discovered that the CNN website has become useless, mostly advertising stuff that will be on their channel rather than providing easy access to online articles.