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

Firewatch
Shared: Adventure · Atmospheric · Story Rich

What Remains of Edith Finch
Shared: Atmospheric · Story Rich · First-Person

Layers of Fear (2016)
Shared: Horror · Atmospheric · First-Person

MiSide
Shared: Horror · Story Rich · First-Person

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

SOMA
Shared: Horror · Atmospheric · Story Rich

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

Five Nights at Freddy's: Security Breach
Shared: Horror · First-Person · Adventure

Outer Wilds
Shared: Adventure · Exploration · Story Rich

Fallout 4
Shared: Adventure · Atmospheric · Exploration

DEATH STRANDING DIRECTOR'S CUT
Shared: Story Rich · Atmospheric · Walking Simulator

Scanner Sombre
Shared: Horror · Adventure · Atmospheric

Still Wakes the Deep
Shared: Horror · First-Person · Walking Simulator

Metro Exodus
Shared: Story Rich · Atmospheric · Horror

Five Nights at Freddy's: Secret of the Mimic
Shared: First-Person · Adventure · Horror

The Forest
Shared: Horror · Adventure · First-Person

CARIMARA: Beneath the forlorn limbs
Shared: Adventure · Story Rich · Horror

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

Outlast
Shared: First-Person · Horror · Atmospheric

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

INFRA
Shared: First-Person · Atmospheric · Adventure

The Vanishing of Ethan Carter
Shared: Atmospheric · First-Person · Adventure

METRO 2033 Redux
Shared: Atmospheric · Horror · Story Rich

Summer of '58
Shared: Horror · Atmospheric · First-Person