I would say his shtick usually leans closer to candy-coated dark surrealism than grim-dark-Goth-weird. There's a certain Gothic sensibility to it, but other than his Batman movies, it's usually played for comic effect.
Besides, people always seem to forget Pee-Wee's Big Adventure, Ed Wood, Planet of the Apes and Big Fish, which were so far away from his usual style that it makes one wonder just what Burton would be capable of if he weren't both a brand name and a guy so set in his ways that there's an actual style named after him.