WordNet records no synonym and no antonym for pandora's box. It is the only member of its synset, which is common for technical, taxonomic and single-sense vocabulary — there is no other English word that means the same thing. The broader and narrower terms below are the useful relations in that case.
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.
(Greek mythology) a box that Zeus gave to Pandora with instructions that she not open it; she gave in to her curiosity and opened it; all the miseries and evils flew out to afflict mankind
Synonyms, antonyms and the broader and narrower relations for pandora's box come from Princeton University’s WordNet. Full sources and licences.