narcissism vs vanity

narcissism and vanity both are nouns.

Word	Noun	Adjective	Verb	Adverb
narcissism	Yes	No	No	No
vanity	Yes	No	No	No

As nouns, vanity is a hypernym of narcissism; that is, vanity is a word with a broader meaning than narcissism:

Other hypernyms of narcissism include conceit, conceitedness.

narcissism (noun)	vanity (noun)
an exceptional interest in and admiration for yourself	low table with mirror or mirrors where one sits while dressing or applying makeup
	the trait of being unduly vain and conceited; false pride
	the quality of being valueless or futile
	feelings of excessive pride