accept has 11 distinct synonyms spread across 7 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. Its 2 recorded opposites are reject, refuse.
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.
consider or hold as true
“I cannot accept the dogma of this church”
react favorably to; consider right and proper
“People did not accept atonal music at that time”
take on as one's own the expenses or debts of another person
“I'll accept the charges”
receive (a report) officially, as from a committee
be sexually responsive to, used of a female domesticated mammal
“The cow accepted the bull”
Synonyms, antonyms and the broader and narrower relations for accept come from Princeton University’s WordNet. Full sources and licences.