Since New York's airspace (JFK
) is probably the busiest in the country, most snow events don't have much lasting effect on routine operations. We are prepared for all kinds of weather.
If your concern about weather is because of sightseeing and tourism, all bets are off. New York has a terrible climate: snow and ice in winter, rain in spring, thunderstorms in summer. If you wanted to visit New York in winter, Christmas would've been a better time because the lights, the decorations, the mood, everything is fun in New York around Christmas. January can be a little dreary.