Games like Hide Time
Games like Hide Time include Poppy Playtime, SOMA, Sally Face - Episode One, Outer Wilds, and Little Nightmares. We matched them by the tags players give Hide Time on Steam (Free to Play, Indie, Horror, Story Rich, and Psychological Horror): closest matches first, and among equally close ones the better-known games.

Poppy Playtime
Shared: Free to Play · Horror · Psychological Horror

SOMA
Shared: Horror · Psychological Horror · Story Rich

Sally Face - Episode One
Shared: Indie · Story Rich · Horror

Outer Wilds
Shared: Story Rich · Exploration · Mystery

Little Nightmares
Shared: Horror · Atmospheric · Indie

What Remains of Edith Finch
Shared: Story Rich · Atmospheric · Indie

Little Nightmares II
Shared: Horror · Psychological Horror · Story Rich

We Were Here
Shared: Free to Play · Horror · Puzzle

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

Mouthwashing
Shared: Horror · Psychological Horror · Story Rich

Firewatch
Shared: Story Rich · Atmospheric · Indie

Fran Bow
Shared: Psychological Horror · Story Rich · Horror

Detention
Shared: Indie · Horror · Psychological Horror

The Room Two
Shared: Horror · Indie · Puzzle

MiSide
Shared: Psychological Horror · Story Rich · Horror

Samsara Room
Shared: Indie · Free to Play · Puzzle

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

Inside the Backrooms
Shared: Horror · Psychological Horror · Puzzle

Amnesia: A Machine For Pigs
Shared: Horror · Story Rich · Psychological Horror

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

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

OMORI
Shared: Indie · Story Rich · Psychological Horror

Dark Deception
Shared: Free to Play · Horror · Psychological Horror

The Room Three
Shared: Indie · Puzzle · Atmospheric