Games like Fantoccini
Games like Fantoccini include Poppy Playtime, Garten of Banban, MiSide, Outlast, and No, I'm not a Human. We matched them by the tags players give Fantoccini on Steam (3D, Singleplayer, First-Person, Horror, and Psychological Horror): closest matches first, and among equally close ones the better-known games.

Poppy Playtime
Shared: Singleplayer · Horror · First-Person

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

MiSide
Shared: Psychological Horror · Horror · First-Person

Outlast
Shared: First-Person · Horror · Singleplayer

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

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

Buckshot Roulette
Shared: Horror · First-Person · Singleplayer

Garten of Banban 2
Shared: Singleplayer · Horror · First-Person

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

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

SOMA
Shared: Horror · Psychological Horror · Atmospheric

Little Nightmares II
Shared: Singleplayer · Horror · Atmospheric

Garten of Banban 3
Shared: Singleplayer · Horror · First-Person

Little Nightmares
Shared: Horror · Singleplayer · Atmospheric

Subliminal
Shared: Singleplayer · Psychological Horror · Atmospheric

Five Nights at Freddy's
Shared: Singleplayer · Horror · Psychological Horror

Sally Face - Episode One
Shared: Psychological Horror · Horror · Singleplayer

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

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

Five Nights at Freddy's 2
Shared: Singleplayer · Horror · Psychological Horror

The Room Two
Shared: Horror · Atmospheric · Singleplayer

Phasmophobia
Shared: Horror · Psychological Horror · First-Person

Visage
Shared: Horror · Psychological Horror · First-Person

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