There are several synonyms which can be used for the phrase "raise a smile". One of the most common ones is "bring a smile to someone's face", which implies that something has been done or said to make someone smile. Another is "put a smile on someone's lips", which suggests something similar. "Make someone grin" is another option, which is a little more casual and implies a bigger smile. "Get a chuckle" is something that can be used to describe a slightly humorous remark or situation. "Elicit a grin" is another synonym which implies a more subtle smile. Overall, there are many different phrases which can be used to describe bringing a smile to someone's face.