come around vs go on

come around and go on both are verbs.

Word	Noun	Adjective	Verb	Adverb
come around	No	No	Yes	No
go on	No	No	Yes	No

As verbs, go on is a hypernym of come around; that is, go on is a word with a broader meaning than come around:

Other hypernyms of come around include come about, fall out, hap, happen, occur, pass, pass off, take place.

come around (verb)	go on (verb)
happen regularly	come to pass
change one's position or opinion	continue talking
	start running, functioning, or operating
	move forward, also in the metaphorical sense
	continue a certain state, condition, or activity