There are several synonyms for the phrase "more fine looking" that can be used to describe someone who is attractive or aesthetically pleasing. These include terms such as "handsome," "gorgeous," "stunning," "charming," "alluring," "beautiful," "elegant," "sophisticated," "exquisite," "graceful," "appealing," "lovely," and "attractive," among others. The specific synonym used may depend on the context in which it is being used, as well as the individual being described. Nonetheless, using any of these terms can add a more descriptive and impactful tone when depicting someone as more than just good-looking, but truly captivating and enchanting.