1851–PRESENT
The complete archive of The New York Times can now be searched from NYTimes.com — more than 13 million articles total.
Searching the Archives
The archive is divided into two search sets: 1851–1980 and 1981–present.
You may be able to get some pre-1923 articles for free, but you can use the the archives as an index and read the full text on microfilm on the 3rd floor of the library.
All the information is on this page. NY Times Archive Years Available: 1851-present