The New Jersery State Archives website states they have - "microfilm copies of: births, 1878-1923; marriages, 1878-1940; and deaths, 1878-1940. These materials are available for in-person use only. Search service is provided by the Bureau of Vital Statistics (linked below)." However, if you click on the "References Services" link, you are led ultimately to request forms that are consistent with New Jersey restrictive access policies. For instance, the form to request a birth search only provides for a request for births through 1900, even though microfilms apparently exist with data through 1923.
The question is, if you go to the NJ Archives in person, can you use the microfilms and obtain information on births up to 1923 and marriages and deaths up to 1940.
I have contacted the New Jersey State Archives on your behalf. They informed me that you can review the microfilm at their archives, as well as make microfilm prints at .50 cents per page. Their restrictions relate to the mailing of copies of the documents.