Mr. Archer is a Wight, and one of the antagonists of the film adaptation.
Miss Peregrine's Home for Peculiar Children (film) Edit
He is bald and wears a long-sleeved coat in the film.
He does not appear to have any known peculiarity.
He is himself a peculiar, but wants to be normal so he eats peculiar children's eyeballs to regain temporary mortality.