Anyone who's a fan of the genre needs to see the George Romero/Tom Savini 1990 remake of the original
"Night of the Living Dead", starring Tony Todd (Candyman, Star Trek the Next Generation/Star Trek DS9) as "Ben", and Patricia Tallman (Babylon5, Jurassic Park as Laura Dern's stunt-double) as Barbara.
It is faithful to the original in every important aspect. The storyline is essentially exactly the same, with better acting, better special effects, and better filmmaking. They even use the original dialogue in key areas, and George Romero wrote the screenplay based on his original. They even give a hat-tip to the often contemplated "they're so slow, you could just walk through them" critique of the genre, by having Barbara just say it outright, and then do it, as she moves slowly through a sparse pack of zombies, just pushing them away from her as she moves forward. But of course, as always, the horde wins in the end through sheer numbers.
Highly recommended. Also highly recommended is the George Romero "Dawn of the Dead" remake starring Sarah Polley and Ving Rhames, although this one bears much less resemblance to its original - and the zombies are fast.