Here are several five‑star New York City hotels that publicly run “stay longer” deals that include complimentary nights (third- or fourth-night free). These offers are usually seasonal, limited by room type/blackout dates, and subject to availability — always confirm dates/rules with the property when you book.

• Four Seasons Hotel New York Downtown — “Stay Longer — Fourth Night Free” (complimentary 4th night with a minimum 4‑night suite stay; selected dates/room types). (fourseasons.com)

• The Mark — Complimentary third night when you reserve three consecutive nights or more (seasonal/summer window shown on their offers page). (themarkhotel.com)

• The Plaza (Fairmont) — “Every Third Night Is On Us” (third night complimentary for qualifying bookings; seasonal booking/stay windows). (theplazany.com)

• The Carlyle, A Rosewood Hotel — “More Rosewood” / “Experience More” style offer: complimentary third night with two paid nights for many room categories (terms and max stay limits apply). (rosewoodhotels.com)

• Baccarat Hotel New York — has run “Every Fourth Night With Our Compliments” and similar third‑night/seasonal complimentary‑night packages (limited-time offers vary by season). (baccarathotels.com)

• Mandarin Oriental, New York — “One More Night” style offer (complimentary night after a minimum multi‑night stay at participating Mandarin properties; terms vary by property/date). (mandarinoriental.com)

• The Peninsula New York — Peninsula global/offers pages have included complimentary third‑ or fourth‑night promotions in some seasonal campaigns (terms vary and sometimes require Amex or other booking conditions). (peninsula.com)

Notes and booking tips

• These are examples of currently/seasonally advertised offers (many shown with explicit booking/stay date windows). Because such promotions are time‑limited and room‑type specific, confirm the exact offer, minimum stay, eligible room categories, blackout dates and cancellation/prepayment rules on the hotel’s official offers page or by calling the hotel before booking. (fourseasons.com)
• If you have specific travel dates (or preferences like Midtown vs. Downtown, suite vs. room), I can check current public offers for those dates and list which hotels are showing complimentary‑night deals right now.