N.Y. Insurance Law § 4522
(a) Except as provided in subsection (b) hereof the following societies, corporations, unincorporated associations, and other organizations shall be exempt from the provisions of this chapter requiring the obtaining of a license to do an insurance business and from all other requirements of this chapter except those provided in subsections (c) and (d) hereof and except section three thousand two hundred nine and the provisions of article seventy-four of this chapter:
(b) The foregoing exemptions shall not apply to: