I want to write for NYT or some other really good newspaper. How can I approach them?I already write for one.?

I already write for a paper and I want to join NYT or some other good newsppaer. My english language is really good, so how can I approach NYT? I'm not looking for money, I just want to write and be known. And I'm not in USA, so how exactly should I approach a really good newspaper?