strike out has 5 distinct synonyms spread across 2 of its 6 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.
remove from a list
“Cross the name of the dead person off the list”
put out or be put out by a strikeout
“Oral struck out three batters to close the inning”
Synonyms, antonyms and the broader and narrower relations for strike out come from Princeton University’s WordNet. Full sources and licences.
be unsuccessful in an endeavor
“The candidate struck out with his health care plan”
set out on a course of action
“He struck out on his own”