I don't think that's a fair characterization of NYT. I'm curious if you're putting NYT's reporting and NYT's op-eds into the same bucket.
> I let my NYT subscription lapse because their articles were clearly pushing an agenda rather than reporting the news.
There aren't many large publications that publish w/o an angle, whether that effort is in the name of truthiness or personal gain is difficult to discern.
In my opinion, the only solution to the 'getting unbiased news consistently' problem is solved with news aggregations. Looking at the diff between the major publications on any specific story may not reveal which angle/agenda is the most true, but it will reveal the variables that are being used to steer the ship.