be remembered as (something)
To have one's particular role as something be the primary part of one's legacy. That choreographer will be remembered as a true innovator in the world of dance.
be remembered for (something)
To have one's particular action, such as an accomplishment or misdeed, be the primary part of one's legacy. That choreographer will be remembered for all of her innovations in the world of dance.
be reˈmembered as/for something
be famous or known for a particular thing that you have done in the past: He is best remembered as the man who brought jazz to Britain.A natural journalist, he will be remembered for his words rather than his actions.