The official 24-hour rainfall record for the state of New York, 13.57 inches observed at the Islip-Macarthur Airport (Suffolk County) on August 12-13, 2014. During the event, over an inch of rain was recorded in under 10-minutes (1.08" between 5:39 - 5:48 AM EDT). While this event happened during the summer, it was not associated with a tropical cyclone.
Source: Wikimedia Commons
In January 1996, widespread flooding was reported throughout the state of New York when heavy rains combined with unseasonably warm temperatures caused a rapid melt of the snowpack (up to 45 inches deep in some locations). The areas in and around the Catskill Mountains were severely affected with over $100 million in damages to infrastructure and private property.