Finally, a lot of information posted at the Office of the New York State Comptroller's Web site.

Reporting Unclaimed Funds to New York State (Note Law Changes in red beginning at the bottom of page 1 - the Handbook will soon be updated to reflect these changes):

Handbook for Reporters of Unclaimed Funds:
everything isn't in one click - so, click on Letter from Comptroller Alan G. Hevesi; Handbook (May 2003 edition); Calendar and Property Type Tables; and Newspapers Available for Notice Publications. Under Industry Specific Information, click on Banking Institutions.

Opinions expressed are mine (since I'm retired).