The Dead Next Door from 1989 is a cheap zombie flick whose two main selling points are that Sam Raimi was on the team as executive producer and that it has lots of gore. The quality of the picture is bad, the quality of the acting is non-existant and the film is ripe with references and not so subtle tributes to the big films in the genre, showing that this is a zombie film made by zombie film lovers. For example, the main character's name is .. Raimi.
It's still passably entertaining in a fun kind of way and it's not so rare that you won't be able to find it anywhere so zombie-lovers might wanna check this out. The story is quite Romero-ish. A zombie epidemic has turned the world into a post-apocalyptic place where survivors struggle against the threat of zombies. The main chars are part of a zombie-fighting team who has to deal with a cult that wants to preserve zombies rather than eradicate them.
Actually, the trailer describes the film perfectly.