A major draw to anthology films is the ability to satisfy our desire for nostalgia. Regardless of the lies we like to tell ourselves, horror fans are some sentimental creeps. We endlessly watch films from our childhood that may not have been a "good" film, but the sense of nostalgia it instills within us is totally worth it for us. Horror movies are constantly being remade because we continually pay for admission to watch someone take a familiar film and give it new life. We love the sense of nostalgia, and anthology horror films deliver us that satisfaction. Anthology horror films are reminiscent of the late nights we spent watching Tales from the Crypt or The Twilight Zone. For many of us, these anthology horror television series were some of our introductory experiences with horror. I know I can remember sitting on my Grandfather's couch watching The Twilight Zone episode "The Number 12 Looks Like You" when I was only six years old and being terrified that when I got older I'd have to trade in my face. The Trilogy of Terror and other anthology style made for TV movies were highly successful during their initial releases, and the resurgence has proven that we're a group of people who love their throwbacks.
We're also a generation (regardless of genre) of people growing increasingly more impatient. We're an "immediate" generation, more comfortable with instant gratification than long term enjoyment. The attention spans of the modern audience are rapidly shrinking, and anthology horror is the perfect remedy. Whether we like it or not, we have to admit that people today don't pay attention to films the way they used to. It's almost impulsive to check a phone and there are those that genuinely can't make it through a two hour movie without texting. It's sick, but it's the world we live in. Anthology horror films satisfy the "if you can't beat 'em, join 'em" way of dealing with things. Audiences that are used to changing the remote control to something else if they find it dissatisfied no longer find themselves in the situation where they are forced to sit through a film they hate simply because they already paid for it. When watching an anthology film, if an audience hates one of the segments, there's no worry, because something completely new and different will be coming up shortly. This is especially appealing with films like The ABC's of Death, where segments are shorter than some people's bowel movements.
I genuinely believe that anthology horror films will continue to gain popularity and become the next "it" thing in horror films. Anthology horror films allow exposure for up-and-coming filmmakers and the ability to express new ideas and means of storytelling. As long as the modern audience continues to evolve, anthology horror is going to remain a timeless subgenre that will continue to entertain.