"Don't make waves" is an idiom meaning "to avoid causing trouble or controversy." There are several synonyms for this phrase, such as "keep a low profile," which means to avoid attracting attention or causing a disturbance. Another synonym is "fly under the radar," which refers to remaining unnoticed or unobserved. "Stay out of harm's way" also works as a synonym, as it means to avoid danger or difficulty. "Avoid rocking the boat" is another alternative to "don't make waves," which has a similar meaning of avoiding stirring up trouble or disrupting a situation. Regardless of the synonym used, the message is clear: avoid causing any trouble and remain in the background.