peculiarity vs oddity

peculiarity and oddity both are nouns.

Word	Noun	Adjective	Verb	Adverb
peculiarity	Yes	No	No	No
oddity	Yes	No	No	No

As nouns, peculiarity and oddity are synonyms defined as:

peculiarity and oddity: something unusual -- perhaps worthy of collecting

Other synonyms of peculiarity include curio, curiosity, oddment, rarity.

peculiarity (noun)	oddity (noun)
something unusual -- perhaps worthy of collecting	something unusual -- perhaps worthy of collecting
a distinguishing trait	a strange attitude or habit
an odd or unusual characteristic	eccentricity that is not easily explained