The phrase "getting off someone's case" means to stop bothering or nagging someone about a particular issue. There are several synonyms that can be used in place of this phrase, including "backing off," "letting it go," "cutting them some slack," "calling off the dogs," and "laying off." These phrases all convey the message that the speaker is going to stop pressuring the other person, giving them some space and freedom to make their own decisions. Using these synonyms can help avoid conflict and improve communication in relationships, as they offer a more positive and supportive approach to problem-solving and conflict resolution.