WordNet sense 1 (judged to be in conformity with approved usage):

acceptable

WordNet sense 2 (conforming to the established language usage of educated native speakers):

received, standard

WordNet sense 3 (brought about or set up or accepted; especially long established):

constituted, established

WordNet sense 4 (following accepted customs and proprieties):

conventional

WordNet sense 5 (generally agreed upon; not subject to dispute):

unchallenged, undisputed, unquestioned

WordNet sense 6 (not likely to arouse controversy):

noncontroversial, uncontroversial

WordNet sense 7 (generally approved or compelling recognition):

recognised, recognized

WordNet sense 8 (recognized or made known or admitted):

acknowledged