There are a variety of synonyms that can be used in place of the phrase "smile at." Some options include grin at, beam at, smirk at, chuckle at, and giggle at. Each of these options conveys a slightly different tone or level of playfulness. Grinning at someone might indicate a deeper level of happiness or joy, while chuckling at someone might indicate more of a lighthearted or teasing interaction. Regardless of the specific synonym used, the sentiment is the same: a friendly, positive interaction with another person. Choosing the right synonym for each situation can help to convey subtly different emotions and create a unique mood in our interactions with others.