Plants vs Zombies, obviously.

ugly americans and some stuff

Night of the Living Dead and other romero zombie movies are classics that created the zombie as we figure it now.
The Last Of Us is the most credible one (even if the cordyceps only attacks insects irl)
Shaun of the dead is very cool for its humor and criticism of modern society

train to busan will always be one of my favorite zombie movies, never fails to make me cry at the end

The Walking Dead Telltale game is pretty good (particularly season 1, anyway), and my brother's been saying that Project Zomboid is one of the best games he's played in years.

Night of the Living Dead is a classic.

Z nation is considerably more modern and injects a good deal of humor and parody into the genre.