Games like Fall Asleep
Games like Fall Asleep include Poppy Playtime, Outlast, Ultimate Custom Night, Psychopomp, and Dark Deception. We matched them by the tags players give Fall Asleep on Steam (Adventure, Strategy, First-Person, Atmospheric, and Horror): closest matches first, and among equally close ones the better-known games.

Poppy Playtime
Shared: Horror · First-Person · Free to Play

Outlast
Shared: First-Person · Horror · Atmospheric

Ultimate Custom Night
Shared: Horror · Free to Play · Strategy

Psychopomp
Shared: First-Person · Horror · Psychological Horror

Dark Deception
Shared: Horror · First-Person · Free to Play

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

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

MiSide
Shared: Psychological Horror · First-Person · Horror

[Nightmare Files] Clap Clap
Shared: Adventure · Horror · Atmospheric

Firewatch
Shared: Adventure · Atmospheric · First-Person

Little Nightmares
Shared: Adventure · Atmospheric · Horror

Little Nightmares II
Shared: Adventure · Horror · Atmospheric

Outlast 2
Shared: Horror · First-Person · Psychological Horror

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

Blair Witch
Shared: Adventure · Horror · First-Person

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

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

SOMA
Shared: Horror · Atmospheric · Psychological Horror

Buckshot Roulette
Shared: First-Person · Strategy · Horror

Penumbra Overture
Shared: Adventure · First-Person · Horror

Five Nights at Freddy's 2
Shared: Horror · First-Person · Psychological Horror

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

Hello Neighbor 2
Shared: Adventure · First-Person · Horror

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