continue has 17 distinct synonyms spread across 8 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 discontinue.
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.
do something repeatedly and showing no intention to stop
“We continued our research into the cause of the illness”
continue after an interruption
“The demonstration continued after a break for lunch”
Synonyms, antonyms and the broader and narrower relations for continue come from Princeton University’s WordNet. Full sources and licences.