wish vs want

wish and want both are nouns.

Word	Noun	Adjective	Verb	Adverb
wish	Yes	No	Yes	No
want	Yes	No	Yes	No

As nouns, wish and want are synonyms defined as:

Other synonyms of wish include wishing.

As verbs, want is a hypernym of wish; that is, want is a word with a broader meaning than wish:

Other hypernyms of wish include desire.

As verbs, want is a hypernym of wish; that is, want is a word with a broader meaning than wish:

Other hypernyms of wish include desire.

wish (noun)	want (noun)
the particular preference that you have	a specific feeling of desire
an expression of some desire or inclination	anything that is necessary but lacking
(usually plural) a polite expression of desire for someone's welfare	a state of extreme poverty
a specific feeling of desire	the state of needing something that is absent or unavailable

wish (verb)	want (verb)
invoke upon	wish or demand the presence of
order politely; express a wish for	have need of
make or express a wish	hunt or look for; want for a particular reason
feel or express a desire or hope concerning the future or fortune of	feel or have a desire for; want strongly
to hope, to desire or to prefer to have something, or to do something	be without, lack; be deficient in