Thanks to Dick Eastman in his Online Genealogy Newsletter for this information. New York City birth records are now online for selected years. Here is part of Dick's article:
"Thanks to both the German Genealogy Group and the Italian Genealogical Group, an index to New York City births 1901-1907 is now available online. The records were indexed by volunteers representing many different ethnic groups.
"The index is a great convenience but, of course, it is only an index. Genealogists should first find the records of interest in the index, then consult the original records on microfilm to obtain all the details. Images of the original birth records are available on microfilm at the New York City Municipal Archives with copies available through the LDS Family History Library in Salt Lake City and Family History Centers around the world.
"You should also realize that many births of these years were not reported simply because many took place at home and were never reported to authorities.
"You can find the New York City Birth Records from 1901 through 1907 at both http://www.italiangen.org/NYCBirthsearch.asp and at http://www.germangenealogygroup.com/NYCBirthSearch.asp."
This is only part of Dick's article. You can read the whole thing at: http://blog.eogn.com/eastmans_online_genealogy/2009/08/new-york-city-birth-records-19011907-now-online.html