Synonyms for Parable:

n.

classic, detective, drama, comedy, adaptation, black comedy, cock-and-bull story. fable (noun)
moral story.
moral story (noun)
fable, tale, allegory, legend.
parable (noun)
apologue, fable, allegory.

Other synonyms:

n.
allegory, apologue, epic, fable, myth, romance, story.