playing vs mime

playing and mime both are nouns.

Word	Noun	Adjective	Verb	Adverb
playing	Yes	No	No	No
mime	Yes	No	Yes	No

As nouns, mime is a hyponym of playing; that is, mime is a word with a more specific, narrower meaning than playing:

playing (noun)	mime (noun)
the action of taking part in a game or sport or other recreation	a performance using gestures and body movements without words
the act of playing a musical instrument	an actor who communicates entirely by gesture and facial expression
the performance of a part or role in a drama

playing (verb)	mime (verb)
	act out without words but with gestures and bodily movements only
	imitate (a person or manner), especially for satirical effect