There are far more than three types of headlines. Just look through any newspaper, and you will see a great variety, with feature stories, news stories, editorials, and adverts requiring far more than just three types of headlines. When it comes to news stories, if you want to break them down into three areas, you could break them down into the following three areas: headlines that draw the reader in with the magnitude of the story, ones that capture the reader’s attention through shock, and headlines that use humor to grasp the passing reader.