The Creature from Frankenstein is not handsome.
I'm sorry to deflate a million fanart, but the descriptions in the text of Frankenstein go against the conception of him being handsome.
For example, on the top of Chapter V, he is described as follows
His limbs were in proportion, and I had selected his features as beautiful. Beautiful! Great God! His yellow skin scarcely covered the work of muscles and arteries beneath; his hair was of a lustrous black, and flowing; his teeth of a pearly whiteness; but these luxuriances only formed a more horrid contrast with his watery eyes, that seemed almost of the same colour as the dun-white sockets in which they were set, his shrivelled complexion and straight black lips
"Beautiful" here is meant as a bit of irony, contrasting his intent of a handsome creating turning out like the horrific amalgam of dead flesh the body was. As bonus evidence against the Monster supposedly looking pretty, here's one from the final letter, from when Captan Walton finally sees him.
I entered the cabin where lay the remains of my ill-fated and admirable friend. Over him hung a form which I cannot find words to describe—gigantic in stature, yet uncouth and distorted in its proportions. As he hung over the coffin, his face was concealed by long locks of ragged hair; but one vast hand was extended, in colour and apparent texture like that of a mummy.
It's very obvious that the Creature was meant to be beautiful, but because he's made of rotten body parts it came out horrific and uncanny. I imagine he looks like a ghoul from Fallout, honestly.