Games like Amnesia: A Machine For Pigs
Games like Amnesia: A Machine For Pigs include What Remains of Edith Finch, Firewatch, SOMA, Layers of Fear (2016), and Outlast. We matched them by the tags players give Amnesia: A Machine For Pigs on Steam (Horror, Walking Simulator, Story Rich, Atmospheric, and First-Person): closest matches first, and among equally close ones the better-known games.

What Remains of Edith Finch
Shared: Story Rich · Walking Simulator · Atmospheric

Firewatch
Shared: Story Rich · Walking Simulator · Atmospheric

SOMA
Shared: Horror · Story Rich · Atmospheric

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

Outlast
Shared: Horror · First-Person · Atmospheric

Still Wakes the Deep
Shared: Horror · Walking Simulator · Psychological Horror

Poppy Playtime
Shared: Horror · First-Person · Singleplayer

Mouthwashing
Shared: Horror · Story Rich · Psychological Horror

Outer Wilds
Shared: Story Rich · Exploration · Atmospheric

Resident Evil 7 Biohazard
Shared: Horror · First-Person · Atmospheric

Sally Face - Episode One
Shared: Story Rich · Horror · Psychological Horror

MiSide
Shared: Story Rich · Horror · Psychological Horror

Outlast 2
Shared: Horror · Psychological Horror · First-Person

Dagon: by H. P. Lovecraft
Shared: Horror · Atmospheric · Story Rich

Amnesia: The Dark Descent
Shared: Horror · Atmospheric · Psychological Horror

Visage
Shared: Horror · Psychological Horror · First-Person

Resident Evil Village
Shared: Horror · First-Person · Story Rich

Lethal Company
Shared: Horror · First-Person · Exploration

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

Among the Sleep - Enhanced Edition
Shared: Horror · Atmospheric · Walking Simulator

The Beast Inside
Shared: Horror · First-Person · Story Rich

Little Nightmares
Shared: Horror · Atmospheric · Story Rich

Bendy and the Ink Machine
Shared: Horror · First-Person · Singleplayer

INFRA
Shared: Atmospheric · Walking Simulator · Exploration