This one ticks a lot of interesting marks for a zombie TV series. Done by Netflix. Set in the Joseon period of South Korea, post-14th century that is. The plot follows the first days of a zombie outbreak. The zombies are a little bit different than your traditional ones but the idea is not that odd. It feels like they show the mechanisms of such an outbreak quite effectively. Highly recommended.
There is only six episodes for now but hopefully will have more.