wish has 9 distinct synonyms spread across 6 of its 10 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 begrudge.
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 or express a wish
“I wish that Christmas were over”
an expression of some desire or inclination
“I could tell that it was his wish that the guests leave”
(usually plural) a polite expression of desire for someone's welfare
“give him my kind regards”
the particular preference that you have
“it was his last wish”
Synonyms, antonyms and the broader and narrower relations for wish come from Princeton University’s WordNet. Full sources and licences.