Edit: Twelve Monkeys. I think that counts.
A quiet place, 28 days later, Children of Men
Snowpiercer (2013)
Melancholia (2011)
When the Wind Blows (1986)
Planet of the Apes, Soylent Green, and that other Charleton Heston movie with zombies that I can’t remember (not a huge fan of zombies)
The Road is a fairly recent movie that fits.
British TV had Space 1999, lots of early Doctor Who and an attempt at the Tripods series by John Christopher. By far my favorite was “Survivors” written by Terry Nation - who needs zombies when you’ve got actual problems to deal with!
The Omega Man probably. The first adaptation of Mathesons "I am Legend". Though some people might disagree about the "Zombie" part.