I read the New York Times and subscribe to the Sunday paper (grudgingly; the online subscription is perversely more expensive than allowing them to leave a piece of paper on my doorstep every Sunday!)
The Times puts up too many obstacles to becoming a subscriber in the digital age, as others have mentioned.
Also, either I'm oblivious or they're doing a terrible job marketing their spinoffs. I read the Times daily, on both my phone and at a desktop, and am definitely in their target demo for NYT Cooking, but I haven't even heard of it. I already subscribe to Cook's Illustrated and visit sites like Serious Eats regularly; how is it I didn't know about their new venture?
(http://cooking.nytimes.com/ looks amazing, by the way. I'm disappointed I had to hear about it in the context of these job cuts.)