game vs catch

game and catch both are nouns.

Word	Noun	Adjective	Verb	Adverb
game	Yes	Yes	Yes	No
catch	Yes	No	Yes	No

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

game (noun)	catch (noun)
a contest with rules to determine a winner	the act of catching an object with the hands
an amusement or pastime	the act of apprehending (especially apprehending a criminal)
your occupation or line of work	a cooperative game in which a ball is passed back and forth
a single play of a sport or other contest	a fastener that fastens or locks a door or window
frivolous or trifling behavior	a restraint that checks the motion of something
animal hunted for food or sport	a drawback or difficulty that is not readily evident
the game equipment needed in order to play a particular game	a break or check in the voice (usually a sign of strong emotion)
a secret scheme to do something (especially something underhand or illegal)	anything that is caught (especially if it is worth catching)
the flesh of wild animals that is used for food	a person regarded as a good matrimonial prospect
(games) the score at a particular point or the score needed to win	the quantity that was caught
(tennis) a division of play during which one player serves

game (adjective)	catch (adjective)
willing to face danger
disabled in the feet or legs

game (verb)	catch (verb)
place a bet on	come down with
	be struck or affected by
	delay or hold up; prevent from proceeding on schedule or as planned
	detect a blunder or misstep
	discover or come upon accidentally, suddenly, or unexpectedly; catch somebody doing something or in a certain state
	grasp with the mind or develop an understanding of
	become aware of
	be the catcher
	catch up with and possibly overtake
	take hold of so as to seize or restrain or stop the motion of
	succeed in catching or seizing, especially after a chase
	capture as if by hunting, snaring, or trapping
	to hook or entangle
	attract and fix
	cause to become accidentally or suddenly caught, ensnared, or entangled
	spread or be communicated
	take in and retain
	reach with a blow or hit in a particular spot
	apprehend and reproduce accurately
	attract; cause to be enamored
	reach in time
	hear, usually without the knowledge of the speakers
	perceive with the senses quickly, suddenly, or momentarily
	see or watch
	suffer from the receipt of
	perceive by hearing
	get or regain something necessary, usually quickly or briefly
	check oneself during an action
	start burning