The NYT is the mouthpiece of the centrist establishment. If the NYT is too "right" for you then you probably want WashPo or HuffPo. And if those are still too right, you're an ultra-progressive and I don't knwo what they read.
I do like WashPo, though HuffPo is far too left. I generally prefer places that are as neutral as possible. As a Canadian I find CTV news to actually be very good, despite not being a very large news outlet. They are down the middle and avoid inflammatory headlines.
edit: Interestingly I also like the Globe and Mail, and people debate whether that is slightly right or slightly left.
