Same!

Thriller/horror sadly there aren't many good horror anime

Fantasy, Mystery, Paranormal, Science Fiction(depends), Comedy, Historical(for most part)

Probably psychological horror/thrillers, fantasy, and... occasionally a romance here and there. But only the REALLY good ones, like make a grown man cry tears good. Although to be honest, I love the sense of humor that is common in anime, so I will watch any genre if it has good characters and a well written plot