I can only think of

Double Helix

Evil Force (favorite! )

Grimm

American tales of mystery

Above the Dome

Destroy the World

(There are still few completely pure zombie movies like the walking dead, It can only be similar)

But there are many excellent American horror movies with similar types:

Silent Hill

Orphan

Cry of the Island

Shutter Island

Horror Cruise

Identity

Master Key

(above I also like The Walking Dead and The Vampire Diaries. I don't like it either ... so I feel that our favorite styles should be similar. Although these I recommend are horror types, they are not too scary to watch ..... In short, I hope you like them! Enjoy the movie!