One of my favorite zombies of all time–up there with “Bub” from Day of the Dead and “the Tarman Zombie” from Return of the Living Dead– is Reg Shoe from Terry Pratchett’s awesome Discworld fantasy/satire novels.
Reg Shoe is a more than a zombie, he is a policeman in his local municipal Night Watch, and an advocate for undead rights. (Full disclosure: There are something like 30 Discworld novels, and I’ve only read about 15 of them.) Reg is also a member of the “Fresh Start Club,” a group that advocates for equal rights for the less-than-fully-alive. (The Fresh Start Club includes zombies, ghouls, werewolves, banshees, vampires, and a bogeyman.)
Reg is never the main character of a Discworld novel, but Pratchett uses him perfectly and hilariously in supporting roles.
If you’ve never checked out Pratchett (which you might not have, if you’re American [In Great Britain, he's the #2 bestselling writer behind J.K. Rowling. In the U.S. his books do well, but not that well.]) and you’re a zombie fan, then one of the novels featuring Reg Shoe might be a good place to start. My favorites include Night Watch and Men at Arms. They’re delightful. (There’s also a zombie lawyer named Mr. Slant who pops up from time to time in Pratchett’s stories. Like Reg Shoe, he is quite amusing.)