Games like PHOBOS Project
Games like PHOBOS Project include Poppy Playtime, Sally Face - Episode One, Layers of Fear (2016), No, I'm not a Human, and Outlast. We matched them by the tags players give PHOBOS Project on Steam (Indie, Adventure, Horror, Psychological Horror, and Psychological): closest matches first, and among equally close ones the better-known games.

Poppy Playtime
Shared: Horror · Singleplayer · First-Person

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

Layers of Fear (2016)
Shared: Horror · Psychological Horror · Indie

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

Outlast
Shared: Horror · Psychological Horror · First-Person

MiSide
Shared: Psychological Horror · Horror · First-Person

Mouthwashing
Shared: Horror · Psychological Horror · Indie

Firework
Shared: Indie · Horror · Psychological Horror

Firewatch
Shared: Adventure · Indie · First-Person

Little Nightmares
Shared: Horror · Adventure · Indie

Blair Witch
Shared: Adventure · Horror · Indie

Fran Bow
Shared: Psychological Horror · Horror · Adventure

Little Nightmares II
Shared: Adventure · Horror · Psychological Horror

Escape the Backrooms
Shared: Horror · Psychological Horror · Adventure

DISTRAINT: Deluxe Edition
Shared: Indie · Horror · Psychological Horror

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

[Chillas Art] The Convenience Store
Shared: Indie · Horror · Adventure

Rusty Lake Paradise
Shared: Indie · Adventure · Psychological Horror

Buckshot Roulette
Shared: Horror · Indie · First-Person

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

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

Raging Loop
Shared: Adventure · Indie · Psychological Horror

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

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