New York Bay vs New York City

New York Bay and New York City both are nouns.

Word	Noun	Adjective	Verb	Adverb
New York Bay	Yes	No	No	No
New York City	Yes	No	No	No

New York Bay (noun)	New York City (noun)
a bay of the North Atlantic; fed by the Hudson River	the largest city in New York State and in the United States; located in southeastern New York at the mouth of the Hudson river; a major financial and cultural center