Batman was explictedly drawn (by his Jewish creator) from the Go’el Haddam, the Avenger of the Blood — the Next of Kin whose mitzva it was to avenge the murder of his family.
The link is above.
Bob Kane specifically calls out Zorro as a source of influence on Batman. Of course Zorro rips off parts of Robin Hood and the Scarlet Pimpernel. Stories truly made up of whole cloth are a rare thing, and usually not very good, they don’t get to learn from other people’s mistakes.