The thing is, the NYT has a lot of high quality articles still, even if their newsroom is all liberal. They go deeply into subjects and do good research. You shouldn't believe everything they say, and if it's important, you should verify; but they give you good overview of the world.
Another high quality newspaper is the Wall Street Journal. If you're looking for print, it can't be beat, for similar reasons. The main difference is the WSJ focuses more on economic issues, and the NYT focuses more on social issues.
The editorial staff of both newspapers is mediocre, but the quality of the guest editorials can't be beaten, in both papers. You have
ex presidents, or
the commanding officer of the armed forces of Lebanon. Maybe you don't agree with the guest editorials, but they are often worth reading, more than the average blogger.