come out has 31 distinct synonyms spread across 11 of its 11 senses. Each sense below keeps its own list, because a synonym belongs to a meaning and not to a word: swapping one sense's substitute into another sense's sentence is how a thesaurus makes writing worse. WordNet records no antonym for it — antonymy is a relation between word forms rather than concepts, so it is deliberately sparse.
Counts are distinct word forms across every sense. A synonym that appears under three senses is counted once here and shown three times below, under each sense it belongs to.
make oneself visible; take action
“Young people should step to the fore and help their peers”
to state openly and publicly one's homosexuality
“This actor outed last year”
Synonyms, antonyms and the broader and narrower relations for come out come from Princeton University’s WordNet. Full sources and licences.