Sometimes, movies are very loosely based or adapted from previous films. They may not be a direct remake like Dawn of the Dead, but they are, in a sense, a remake.

The Magnificent Seven is based on Kurosawa's The Seven Samurai.

ANH is based on Kurosawa's The Hidden Fortress.

Last Man Standing and A Fistful of Dollars were based on Kurosawa's Yojimbo.

I was reading a review of the remake of Assault on Precinct 13 and the reviewer said that people cannot complain about this remake being made simply because it's not the first "remake" of the film. Carpenter himself remade his original AoP13 as Ghosts of Mars (with the location changed, of course) and that the original AoP13 was pretty much a remake of, I think he said, High Noon. Maybe it was a different spaghetti western, but I think that's what he said.

Reservoir Dogs was based on a Chinese film called City on Fire and also stole some scenes, pretty much frame for frame, from Kubrick's The Killing.