There are several synonyms for the phrase "hit on," which generally refers to making romantic or sexual advances toward someone. Some common alternatives include "flirt with," "make a pass at," "come on to," "try to pick up," "make advances toward," and "woo." However, it's important to acknowledge that these terms can carry slightly different connotations and may be more or less appropriate depending on the context and tone of the interaction. Ultimately, the key is to approach these situations with respect and consent in mind, and to be mindful of the other person's boundaries and desires.