Games like Happy Z-Day
Games like Happy Z-Day include PUBG: BATTLEGROUNDS, Resident Evil 4, Orcs Must Die! 3, The Killing Antidote, and Resident Evil 4 (2005). We matched them by the tags players give Happy Z-Day on Steam (Third-Person Shooter, Tower Defense, Zombies, Shooter, and Strategy): closest matches first, and among equally close ones the better-known games.

PUBG: BATTLEGROUNDS
Shared: Shooter · Third-Person Shooter · Strategy

Resident Evil 4
Shared: Third-Person Shooter · Zombies · Horror

Orcs Must Die! 3
Shared: Tower Defense · Third-Person Shooter · Strategy

The Killing Antidote
Shared: Third-Person Shooter · Zombies · Shooter

Resident Evil 4 (2005)
Shared: Zombies · Third-Person Shooter · Horror

They Are Billions
Shared: Zombies · Strategy · Tower Defense

The Last of Us™ Part I
Shared: Zombies · Third-Person Shooter · Shooter

Resident Evil 6
Shared: Zombies · Third-Person Shooter · Action

Plants vs. Zombies: Battle for Neighborville™
Shared: Third-Person Shooter · Zombies · Shooter

Orcs Must Die! 2
Shared: Tower Defense · Strategy · Third-Person Shooter

Thronefall
Shared: Tower Defense · Strategy · 3D

Orcs Must Die!
Shared: Tower Defense · Strategy · Third Person

Dead Space™ 2
Shared: Third-Person Shooter · Shooter · Horror

Resident Evil Requiem
Shared: Zombies · Third-Person Shooter · Horror

Left 4 Dead 2
Shared: Zombies · Shooter · Horror

Resident Evil 5
Shared: Zombies · Third-Person Shooter · Action

Plants vs. Zombies GOTY Edition
Shared: Tower Defense · Zombies · Strategy

The Callisto Protocol™
Shared: Third-Person Shooter · Shooter · Horror

World of Warships
Shared: Third-Person Shooter · Shooter · 3D

The Riftbreaker
Shared: Tower Defense · Hack and Slash · Base Building

Zombie Army Trilogy
Shared: Zombies · Third-Person Shooter · Shooter

Resident Evil 3
Shared: Zombies · Horror · Third-Person Shooter

Marvel Rivals
Shared: Third-Person Shooter · Shooter · 3D

7 Days to Die
Shared: Zombies · Base Building · Survival