Being originally from North Jersey and in the New York media market I usually read: The New York Times, The Star Ledger, and The New York Post (a habit I picked up from my father).
Currently residing in New England I usually read the Boston Globe for local news.
Other places I get great journalism from: Slate, The Atlantic, Sports Illustrated (sometimes), The New Yorker.
These are the ones I check regularly, but I'm open to new suggestions, hence the question.