sex crime vs statutory offence

sex crime and statutory offence both are nouns.

Word	Noun	Adjective	Verb	Adverb
sex crime	Yes	No	No	No
statutory offence	Yes	No	No	No

As nouns, statutory offence is a hypernym of sex crime; that is, statutory offence is a word with a broader meaning than sex crime:

sex crime: a statutory offense that provides that it is a crime to knowingly cause another person to engage in an unwanted sexual act by force or threat
statutory offence: crimes created by statutes and not by common law

Other hypernyms of sex crime include regulatory offence, regulatory offense, statutory offense.

sex crime (noun)	statutory offence (noun)
a statutory offense that provides that it is a crime to knowingly cause another person to engage in an unwanted sexual act by force or threat	crimes created by statutes and not by common law