Games like Apocalypse Island
Games like Apocalypse Island include Days Gone, The Forest, DayZ, Rust, and Project Zomboid. We matched them by the tags players give Apocalypse Island on Steam (Survival, Zombies, Action, Post-apocalyptic, and 3D): closest matches first, and among equally close ones the better-known games.

Days Gone
Shared: Zombies · Survival · Post-apocalyptic

The Forest
Shared: Survival · Adventure · Action

DayZ
Shared: Survival · Zombies · Post-apocalyptic

Rust
Shared: Survival · Adventure · Crafting

Project Zomboid
Shared: Survival · Zombies · Post-apocalyptic

Fallout 4
Shared: Post-apocalyptic · Singleplayer · Adventure

7 Days to Die
Shared: Survival · Zombies · Post-apocalyptic

The Long Dark
Shared: Survival · Adventure · Singleplayer

ARK: Survival Evolved
Shared: Survival · Adventure · Action

Once Human
Shared: Survival · Action · Open World

Terraria
Shared: Survival · Adventure · Sandbox

S.T.A.L.K.E.R. 2: Heart of Chornobyl - Standard Edition
Shared: Survival · Post-apocalyptic · Singleplayer

Miscreated
Shared: Survival · Zombies · Post-apocalyptic

Rise of the Tomb Raider™
Shared: Action · Adventure · Singleplayer

Fallout: New Vegas
Shared: Post-apocalyptic · Singleplayer · Action

Metro Exodus
Shared: Post-apocalyptic · Action · Singleplayer

Sons Of The Forest
Shared: Survival · Open World · Adventure

Far Cry® Primal
Shared: Survival · Action · Adventure

Left 4 Dead 2
Shared: Zombies · Survival · Action

Mist Survival
Shared: Survival · Zombies · Singleplayer

Green Hell
Shared: Survival · Action · Singleplayer

SurrounDead
Shared: Survival · Zombies · Post-apocalyptic

Dying Light: The Beast
Shared: Zombies · Action · First-Person

Resident Evil Requiem
Shared: Zombies · Action · Singleplayer