cashier's check vs bank check

cashier's check and bank check both are nouns.

Word	Noun	Adjective	Verb	Adverb
cashier's check	Yes	No	No	No
bank check	Yes	No	No	No

As nouns, bank check is a hypernym of cashier's check; that is, bank check is a word with a broader meaning than cashier's check:

cashier's check: a check issued by the officer of a bank on the banks own account (not that of a private person)
bank check: a written order directing a bank to pay money

Other hypernyms of cashier's check include check, cheque.

cashier's check (noun)	bank check (noun)
a check issued by the officer of a bank on the banks own account (not that of a private person)	a written order directing a bank to pay money