I have a very broad definition of horror, which is why this (very short) list about the 2016 Oscars exists at all. The Academy of Motion Picture Arts and Sciences, true to form, ignored the many exceptional horror films of 2016, most egregiously The Witch (Robert Eggers), Don’t Breathe (Fede Alvarez), Under the Shadow (Babak Anvari), and Train to Busan (Yeon Sang-ho). All of which were brilliant.
That said, let’s move on to what we have rather than gnashing our teeth about the sorry taste in film of Academy members
All three of these films are categorized on IMDb as neo-noir, drama, or thriller—not horror, but there is a long tradition of shying away from calling horror “horror”—and there are veritably thin borders between horror and some of its adjacent genres.