The phrase "conniption fits" is not typically associated with antonyms, as it refers to a state of emotional agitation or outburst. However, some possible antonyms for "conniption fits" could include composure, calmness, or equanimity. These words describe a sense of emotional stability or control, rather than the frenzied and uncontrolled behavior associated with a conniption fit. Other antonyms might include indifference, detachment, or apathy, as these words describe a lack of emotional investment or response. Ultimately, the antonyms for "conniption fits" depend on one's interpretation of the phrase and the characteristics it entails.