This is an old article (from 11/24/16), which talks about Airbnb's suit against NY State, and says that their other suit against NY City is still pending. However, the latest news is that Airbnb has now dropped its suit against NY City. See, for example, this article in today's NY Times:
This means that Airbnb will not challenge the law that allows people who post illegal listings on Airbnb (rentals less than 30 days) to be fined $7,500.
Airbnb Ends Fight With New York City Over Fines
https://news.ycombinator.com/item?id=13094963
This means that Airbnb will not challenge the law that allows people who post illegal listings on Airbnb (rentals less than 30 days) to be fined $7,500.