have has 28 distinct synonyms spread across 16 of its 20 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 one recorded opposite is lack.
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.
go through (mental or physical states or experiences)
“get an idea”
serve oneself to, or consume regularly
“Have another bowl of chicken soup!”
have a personal or business relationship with someone
“have a postdoc”
suffer from; be ill with
“She has arthritis”
undergo (as of injuries and illnesses)
“She suffered a fracture in the accident”
have sex with; archaic use
“He had taken this woman when she was most vulnerable”
1 of the 20 recorded senses carries no synonym, antonym or related term, so it is not shown above. Every sense, with its definition and examples, is on the full entry for have.
Synonyms, antonyms and the broader and narrower relations for have come from Princeton University’s WordNet. Full sources and licences.