"Get under skin" is a phrase that means to irritate, annoy, or bother someone. A few antonyms for this phrase could be to soothe, calm, relax, or please someone. For example, if someone is irritated by noisy traffic outside their window, they could put on some calming music to soothe their nerves. If someone is bothered by a difficult task, they could take a break to relax and recharge. Alternatively, if someone wants to please someone else, they could offer a compliment or a kind gesture to show their appreciation. Ultimately, the opposite of "getting under someone's skin" is to create an environment of peace and contentment.