Games like Insanity's Grip
Games like Insanity's Grip include MiSide, Five Nights at Freddy's: Security Breach, Escape the Backrooms, Buckshot Roulette, and Ready or Not. We matched them by the tags players give Insanity's Grip on Steam (Action, Horror, Psychological Horror, First-Person, and Realistic): closest matches first, and among equally close ones the better-known games.

MiSide
Shared: Psychological Horror · Horror · First-Person

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

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

Buckshot Roulette
Shared: Horror · First-Person · Singleplayer

Ready or Not
Shared: Realistic · Horror · First-Person

In Sound Mind
Shared: Horror · Psychological Horror · Action

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

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

SOMA
Shared: Horror · Psychological Horror · Story Rich

Outlast
Shared: Horror · First-Person · Psychological Horror

Poppy Playtime
Shared: Horror · First-Person · Singleplayer

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

Resident Evil Requiem
Shared: Horror · Action · First-Person

SILENT HILL 2
Shared: Horror · Psychological Horror · Story Rich

Mouthwashing
Shared: Horror · Psychological Horror · Story Rich

The Complex: Expedition
Shared: Horror · Psychological Horror · Realistic

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

Bendy and the Dark Revival
Shared: Horror · Action · First-Person

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

SILENT HILL: Townfall
Shared: Horror · Action · Psychological Horror

The Outlast Trials
Shared: Horror · Psychological Horror · First-Person

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

Superliminal
Shared: First-Person · Psychological · Psychological Horror

Dark Deception
Shared: Horror · First-Person · Psychological Horror