felony vs criminal offence

felony and criminal offence both are nouns.

Word	Noun	Adjective	Verb	Adverb
felony	Yes	No	No	No
criminal offence	Yes	No	No	No

As nouns, criminal offence is a hypernym of felony; that is, criminal offence is a word with a broader meaning than felony:

felony: a serious crime (such as murder or arson)
criminal offence: (criminal law) an act punishable by law; usually considered an evil act

Other hypernyms of felony include crime, criminal offense, law-breaking.

felony (noun)	criminal offence (noun)
a serious crime (such as murder or arson)	(criminal law) an act punishable by law; usually considered an evil act