N.Y. Comp. Codes R. & Regs. tit. 22, § 640.6
(3) Within 60 days after the filing of the return either party may notice the appeal for argument:
(iii) If neither party notices the appeal for argument within the time prescribed by this section, the appeal shall be dismissed unless for good cause shown an enlargement of time is granted by the court.
(b) Appeals from the Criminal Court.
(a) Appeals from the Civil Court.