Games like Fall Asleep - Island
Games like Fall Asleep - Island include Poppy Playtime, Outlast, Ultimate Custom Night, No, I'm not a Human, and Layers of Fear (2016). We matched them by the tags players give Fall Asleep - Island 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 · Strategy · Free to Play

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

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

MiSide
Shared: Psychological Horror · First-Person · Horror

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

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

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

Blair Witch
Shared: Adventure · Horror · First-Person

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

SOMA
Shared: Horror · Atmospheric · Psychological Horror

Penumbra Overture
Shared: Adventure · First-Person · Horror

Buckshot Roulette
Shared: First-Person · Strategy · Horror

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

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

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

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

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

Visage
Shared: Horror · Psychological Horror · First-Person