When describing someone as "more fine-looking," there are plenty of synonyms that can be used to make a similar statement. Some of these synonyms include "handsome," "attractive," "good-looking," "charming," "appealing," and "alluring." Each of these words carries its own unique connotations and can be used to describe someone's physical appearance in a positive manner. Other synonyms that can be used to describe someone as more fine-looking include "gorgeous," "stunning," "striking," and "impressive." Each of these words has a more dramatic connotation and can be used to describe someone who has an exceptional appeal and beauty. Regardless of which synonym is used, each of these words can be used to make a statement about someone's physical appearance and attractiveness.