chinatown ice cream factory Tastiest Lychee flavored ice cream at The Chinatown Ice Cream Factory. Yum. I will definitely be going back for more. They do ice cream cakes too! The Original Chinatown Ice Cream Factory 65 Bayard Street New York, NY 10013 (image from CICF site) Posted on August 19, 2009 by Vivien Chin and filed under restaurants & food and tagged chinatown ice cream lychee ice cream new york red bean ice cream.