There are several synonyms for the word "babyish whimper" that can be used to describe different types of sounds or emotions. "Whine" is a common synonym that suggests a continuous, high-pitched sound of complaint or distress. "Sob" is another option that connotes deeper emotions of sadness or grief. "Cry" is a more general term that can describe any type of vocalization of distress or pain. "Bawl" is a stronger synonym that suggests loud, uncontrollable crying. "Wail" is another option that implies a mournful or sorrowful cry. Finally, "yelp" can be used to describe a sharp, sudden cry of pain or surprise.