In addition to the NYT, I also subscribe to my local newspaper (The Daily Freeman, http://www.dailyfreeman.com). It doesn’t have the resources of something like the NYT or WaPo, but I feel like local newspapers are essential for local democracy, at the very least by keeping local politicians on their toes. Also, local drama is always entertaining.
I'm curious, how engaged are you with your local paper, in terms of how often/regularly you read it, and how useful it is in your day-to-day life? It's been awhile since I've used my local paper (didn't really have one in NY, and I'm not really engaged with Palo Alto). I know my hometown newspapers, now owned by Gannett, are more or less gutted. Both in terms of physical paper and shallow (and ad heavy) websites.
I read them daily. I would say it’s actually more useful in my day-to-day life, what happens on a national level rarely affects me directly the way local happenings do.