New York City keeps their own vital records, separate from the rest of the state. I am more acquainted with "the rest of the state" index. There, all you will get is name, date, place, VR #

marriage index for later years may contain the first four letters of the surname of the new spouse.
no parental information

depending on the year and it is far not inclusive there is a new york city index info available on the germangenealogygroup.com site. The menu on the left has "databases" which includes a vital records database.
good luck