Games like The Call Button
Games like The Call Button include What Remains of Edith Finch, Firewatch, Mouthwashing, Layers of Fear (2016), and Poppy Playtime. We matched them by the tags players give The Call Button on Steam (Psychological Horror, Walking Simulator, Horror, Puzzle, and Atmospheric): closest matches first, and among equally close ones the better-known games.

What Remains of Edith Finch
Shared: Walking Simulator · Atmospheric · Mystery

Firewatch
Shared: Walking Simulator · Atmospheric · Mystery

Mouthwashing
Shared: Psychological Horror · Horror · Atmospheric

Layers of Fear (2016)
Shared: Psychological Horror · Horror · Walking Simulator

Poppy Playtime
Shared: Horror · Puzzle · Psychological Horror

Amnesia: A Machine For Pigs
Shared: Walking Simulator · Horror · Psychological Horror

SOMA
Shared: Psychological Horror · Horror · Atmospheric

No, I'm not a Human
Shared: Psychological Horror · Horror · Atmospheric

MiSide
Shared: Psychological Horror · Horror · First-Person

Outer Wilds
Shared: Mystery · Atmospheric · Puzzle

Sally Face - Episode One
Shared: Psychological Horror · Horror · Puzzle

The Park®
Shared: Psychological Horror · Horror · Walking Simulator

INFRA
Shared: Puzzle · Walking Simulator · Atmospheric

The Exit 8
Shared: Walking Simulator · Puzzle · Horror

The Room Two
Shared: Puzzle · Mystery · Atmospheric

Fran Bow
Shared: Psychological Horror · Puzzle · Horror

Firework
Shared: Horror · Puzzle · Psychological Horror

Garten of Banban
Shared: Horror · Psychological Horror · Puzzle

Little Nightmares II
Shared: Horror · Puzzle · Psychological Horror

Inside the Backrooms
Shared: Horror · Psychological Horror · Puzzle

Superliminal
Shared: Puzzle · First-Person · Psychological

Layers of Fear 2 (2019)
Shared: Psychological Horror · Horror · Walking Simulator

The Beginner's Guide
Shared: Walking Simulator · Atmospheric · First-Person

Fears to Fathom - Ironbark Lookout
Shared: Psychological Horror · Horror · Atmospheric