Games like Butcherman
Games like Butcherman include Firewatch, What Remains of Edith Finch, SOMA, Amnesia: A Machine For Pigs, and Mouthwashing. We matched them by the tags players give Butcherman on Steam (Exploration, Atmospheric, First-Person, Horror, and Psychological Horror): closest matches first, and among equally close ones the better-known games.

Firewatch
Shared: Atmospheric · First-Person · Story Rich

What Remains of Edith Finch
Shared: Atmospheric · Exploration · Story Rich

SOMA
Shared: Atmospheric · Horror · Psychological Horror

Amnesia: A Machine For Pigs
Shared: Horror · Atmospheric · First-Person

Mouthwashing
Shared: Atmospheric · Horror · Psychological Horror

Layers of Fear (2016)
Shared: Atmospheric · Horror · Psychological Horror

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

Lethal Company
Shared: First-Person · Horror · Exploration

The Park®
Shared: Horror · First-Person · Psychological Horror

Outlast
Shared: First-Person · Horror · Atmospheric

Still Wakes the Deep
Shared: Horror · Psychological Horror · First-Person

Outer Wilds
Shared: Exploration · Atmospheric · Story Rich

Summer of '58
Shared: Atmospheric · Horror · Psychological Horror

SILENT HILL 2
Shared: Horror · Psychological Horror · Atmospheric

MiSide
Shared: Psychological Horror · Horror · First-Person

Gone Home
Shared: Exploration · Atmospheric · First-Person

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

Poppy Playtime
Shared: Horror · First-Person · Psychological Horror

Backrooms: Escape Together
Shared: Horror · Psychological Horror · Atmospheric

The Beginner's Guide
Shared: Atmospheric · Story Rich · First-Person

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

The Beast Inside
Shared: Horror · First-Person · Psychological Horror

Visage
Shared: Horror · Psychological Horror · First-Person

SILENT HILL f
Shared: Horror · Psychological Horror · Story Rich