good-looking vs better-looking

good-looking and better-looking both are adjectives.

Word	Noun	Adjective	Verb	Adverb
good-looking	No	Yes	No	No
better-looking	No	Yes	No	No

As adjectives, good-looking and better-looking are synonyms defined as:

good-looking and better-looking: pleasing in appearance especially by reason of conformity to ideals of form and proportion

Other synonyms of good-looking include fine-looking, handsome, on fleek, well-favored, well-favoured.

good-looking (adjective)	better-looking (adjective)
pleasing in appearance especially by reason of conformity to ideals of form and proportion	pleasing in appearance especially by reason of conformity to ideals of form and proportion