“家喻户晓的故事”可以翻译为 "a well-known story" 或 "a story that is known to every household"。
"a well-known story":简洁明了,直接表达了故事广为人知的意思。
"a story that is known to every household":更为详细,强调了故事在每个家庭中都广为人知,与“家喻户晓”的含义更为贴近。