New York City recently launched a health insurance program that seeks to cover everyone in the city and offers low-cost options. It's not, however, a single-payer program. [0]

New York State does not have any statewide health insurance program yet, universal or otherwise. However, the New York Health Act (which would create a statewide single-payer insurance program) has passed the State Assembly four years in a row and stands a good chance of finally passing the Senate this year as well. [1]

[0] https://cityandstateny.com/articles/policy/health-care/bill-... [1] https://www.nyhcampaign.org/