Games like Invisible Fear
Games like Invisible Fear include Outlast, Poppy Playtime, SOMA, Visage, and Slender: The Arrival. We matched them by the tags players give Invisible Fear on Steam (Horror, Atmospheric, Dark, First-Person, and Hidden Object): closest matches first, and among equally close ones the better-known games.

Outlast
Shared: Horror · Atmospheric · First-Person

Poppy Playtime
Shared: Horror · First-Person · Dark

SOMA
Shared: Horror · Atmospheric · Dark

Visage
Shared: Horror · Dark · First-Person

Slender: The Arrival
Shared: Horror · First-Person · Dark

Outlast 2
Shared: Horror · First-Person · Dark

The Mortuary Assistant
Shared: Horror · Atmospheric · Demons

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

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

Firewatch
Shared: Atmospheric · First-Person · Walking Simulator

What Remains of Edith Finch
Shared: Atmospheric · First-Person · Walking Simulator

Five Nights at Freddy's
Shared: Horror · Survival Horror · First-Person

Amnesia: The Dark Descent
Shared: Horror · Atmospheric · First-Person

Lethal Company
Shared: Horror · First-Person · Survival Horror

Among the Sleep - Enhanced Edition
Shared: Horror · Atmospheric · First-Person

Little Nightmares
Shared: Horror · Atmospheric · Dark

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

Resident Evil Village
Shared: Horror · First-Person · Survival Horror

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

Phasmophobia
Shared: Horror · First-Person · Dark

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

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

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

Pacify
Shared: Horror · First-Person · Dark