The word "most out-of-order" refers to something that is extremely chaotic and disorganized. Opposite words that can be used to describe the exact opposite of such things are "orderly," "organized," "systematic," and "structured." These words indicate a sense of arrangement, control, and thoroughness which is the opposite of the chaos that the term "most out-of-order" connotes. Other antonyms for "most out-of-order" include "tidy," "neat," and "methodical," which deal with cleanliness, precision, and the ability to follow a specific plan of action. All these words have a calming influence and give the impression of being well managed, which is exactly the opposite of what "most out-of-order" implies.