Tombs of the Blind Dead

Tombs of the Blind Dead is a 1972 Spanish horror film. According to Wikipedia, the director objected to the description of the revenant Templars as "zombies", insisting that they more resembled mummies who feed like vampires and that, unlike zombies, the Templars were not mindless corpses. You can watch it on Vudu with commercials or on DailyMotion.

1000 Misspent Hours says,

The Blind Dead are some of the most intimidating zombies in the business. Part of it is their unique character design, realized by an unexpected combination of extras in full-face masks and simple but impressive puppetry. Because the undead Templars are portrayed as desiccated and mummified, the immobility and awkwardness imparted to the zombies by the use of masks and puppets actually makes them more believable than would probably have been the case had more conventional makeup been used. But beyond all of that, it is the mythos behind them that enables the Blind Dead to stand out from the hordes of interchangeable gut-munching corpses that populate most zombie films. And somehow it’s the smallest detail— their blindness— that is the most disturbing thing about them.

Oh the Horror calls it a "Spanish classic that is a must see for all fans of creature features with ample amounts of all the things that make horror great."