"On even keel" is a common phrase used to describe something that is balanced or stable. Antonyms for this phrase could include "unstable," "unbalanced," and "rocky." These words describe situations where things are not in control and may be shifting or changing rapidly. Additionally, the phrase "off-course" can also be used as an antonym since it implies that something is going in the wrong direction, and therefore, not balanced or steady. When things are on even keel, they are secure, reliable, and predictable. In contrast, when things are not on even keel, they are vulnerable, fickle, and unpredictable.