My tastes and those of my husband usually differ quite a bit, and we both like it, so the show obviously has something appealing for a broad range of people. While I wish the dialog was better and I have an issue with some of the characters, which I'll mention in a minute, I think that is overtaken by other positives. The show has an interesting dramatic setting, no kidding! I'm sure the team behind it wouldn't have been able to get the money for it if it weren't a zombie apocalypse show, but it is more a situational drama. There is an interesting variety of characters for the most part, well-fulfilled by actors who are not unattractive shall we say, though not a Barbie/Ken way. Zombie movie elements aren't completely left out. You still get that juicy scary-gory suspense that will be fun for some people but off-putting to others. Every episode there is a new character you don't care about who gets eaten, and every once in a while you lose a main character -- oh, no!! so sad =(. You have good guys and a really bad guy, who we can't wait to finally get eaten. An episode most often ends with a cliffhanger. Those from the south GA/north FL area will get a kick out of location details. My favorite is an implicit joke about Kudzu -- the crew goes out looking for supplies and finds a structure covered by a jungle of Kudzu that has already grown over so thick since the apocalypse that zombies can't even get out, until the crew hacks through, with great difficulty.
There is only one true negative that I am compelled to mention, and I don't look for this sort of thing. There has been a noticeable lack in numbers and of depth provided to ethnically minority characters, and where there have been, they have generally been stereotypical. There has been an Asian man who is one of the two main characters from the beginning, so kudos there. But there were no significant Hispanic or African-American characters until season 3. Even then, those have been two tough-chick women and a bad guy with a gun. So far in Season 4, we now have two good-guy African-American male characters, but they are not positive characters. I can't believe the stupidity of the writers and everyone else in charge of the show on this aspect.
That aside, I think most people will have a great time watching this show!