Games like Case of 1980
Games like Case of 1980 include Outlast, Layers of Fear (2016), Still Wakes the Deep, SOMA, and MiSide. We matched them by the tags players give Case of 1980 on Steam (Psychological Horror, Horror, Atmospheric, Supernatural, and Walking Simulator): closest matches first, and among equally close ones the better-known games.

Outlast
Shared: Horror · Psychological Horror · Atmospheric

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

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

SOMA
Shared: Psychological Horror · Horror · Atmospheric

MiSide
Shared: Psychological Horror · Horror · Atmospheric

Firewatch
Shared: Atmospheric · Adventure · Walking Simulator

Mouthwashing
Shared: Psychological Horror · Horror · Atmospheric

Scanner Sombre
Shared: Horror · Atmospheric · Walking Simulator

Outlast 2
Shared: Psychological Horror · Horror · Atmospheric

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

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

Resident Evil 7 Biohazard
Shared: Horror · Atmospheric · Psychological Horror

Welcome to Kowloon
Shared: Horror · Psychological Horror · Atmospheric

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

DON'T SCREAM
Shared: Psychological Horror · Horror · Atmospheric

Visage
Shared: Psychological Horror · Horror · Atmospheric

From The Darkness
Shared: Psychological Horror · Horror · Atmospheric

Psalm 5:9-13
Shared: Psychological Horror · Horror · Walking Simulator

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

Escape the Backrooms
Shared: Horror · Psychological Horror · First-Person

Fears to Fathom - Woodbury Getaway
Shared: Psychological Horror · Horror · Adventure

Phasmophobia
Shared: Horror · Psychological Horror · Supernatural

Garten of Banban
Shared: Horror · Psychological Horror · First-Person

The Beast Inside
Shared: Horror · Adventure · Psychological Horror