As The Times says:
The New York Times reports on stories all over the world, and our reporting is read by people around the world. Some readers choose to use Tor to access our journalism because they’re technically blocked from accessing our website; or because they worry about local network monitoring; or because they care about online privacy; or simply because that is the method that they prefer.
To access the site users must first download Tor, a browser designed to connect to the dark web — a network of websites designed to be hidden from “clear” web search engines, like Google. Once connected, Tor allows users to move about with relative anonymity, and view sites like Facebook, ProPublica, and now The Times — or, you know, buy some shrooms.
The Times is quick to point out that this service is both experimental and under development. Certain features aren’t guaranteed to work, and implementation will come in waves. The goal, it says, is to “match the features currently available on the main New York Times website” over time.
You can access the site here, but only through Tor — https://www.nytimes3xbfgragh.onion/.