Topsy-turvies is a word used to represent something that is in disarray, chaotic or upside-down. Its antonyms, on the other hand, would be orderly, structured, and properly arranged. Synonyms such as organized, tidy, and neatly arranged would be considered as opposites of the word topsy-turvies. A carefully planned and methodical arrangement can be a perfect antonym to this word. When referring to a specific situation or system, words like stable and well-balanced can also be used to describe the opposite of topsy-turvies. Essentially, any word that suggests a sense of control, predictability, and coherence would make a fitting antonym to this word.