stodgy has 5 distinct synonyms spread across 2 of its 3 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.
(used pejoratively) out of fashion; old fashioned
“moss-grown ideas about family life”
excessively conventional and unimaginative and hence dull
“why is the middle class so stodgy, so utterly without a sense of humor?”
1 of the 3 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 stodgy.
Synonyms, antonyms and the broader and narrower relations for stodgy come from Princeton University’s WordNet. Full sources and licences.