Horror movies make the most sensible remakes. Folklore is something that was all about the retelling. The stories would be passed down, but they would be made relevant to the issues facing the current audience. That's why there tends to be so many different versions of old folk stories. That's not to say they have to be set in the present but values and perceptions change enough that by simply telling them in the present they take on a new meanings.
I haven't seen The Witch, but it sounds like something I would enjoy. And Eggers seems like he has a distinct point of view, so I'm definitely interested in this.
On a side note, one of the coolest cinema moments for myself was seeing Murnau's Nosferatu on the big screen (on Halloween) in an old movie palace that opened in 1924. Undoubtedly Nosferatu played there when it debuted in America in 1929.