state bank vs banking company

state bank and banking company both are nouns.

Word	Noun	Adjective	Verb	Adverb
state bank	Yes	No	No	No
banking company	Yes	No	No	No

As nouns, banking company is a hypernym of state bank; that is, banking company is a word with a broader meaning than state bank:

state bank: a bank chartered by a state rather than by the federal government
banking company: a financial institution that accepts deposits and channels the money into lending activities

Other hypernyms of state bank include bank, banking concern, depository financial institution.

state bank (noun)	banking company (noun)
a bank chartered by a state rather than by the federal government	a financial institution that accepts deposits and channels the money into lending activities