To be.... "sort of fair" to the Twilight "vampires" (from the movies, at least) I *could* see Carlise being an "attractive" vampire given that he has conventionally good looks, is rich and is blessed with incredible self-control to the point he is, and coverts others to, "vegetarian" vampirism. Also sort of a "match maker" in the series by "adopting" young vampire teens/young adults, converting them to "vegetarianism" and then hooking them up with a mate.
So, of all the Twilight "vampires" I think Carlise is the "best."
(It's not much of a competition, though.)