Games like Bride into the Cave
Games like Bride into the Cave include Sally Face - Episode One, Poppy Playtime, MiSide, Firework, and SOMA. We matched them by the tags players give Bride into the Cave on Steam (Horror, Psychological Horror, Story Rich, Puzzle, and Atmospheric): closest matches first, and among equally close ones the better-known games.

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

Poppy Playtime
Shared: Horror · Puzzle · Psychological Horror

MiSide
Shared: Psychological Horror · Story Rich · Horror

Firework
Shared: Horror · Puzzle · Psychological Horror

SOMA
Shared: Horror · Psychological Horror · Story Rich

Little Nightmares II
Shared: Horror · Puzzle · Psychological Horror

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

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

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

Outer Wilds
Shared: Story Rich · Mystery · Atmospheric

Firewatch
Shared: Story Rich · Atmospheric · Mystery

Mouthwashing
Shared: Horror · Psychological Horror · Story Rich

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

Little Nightmares
Shared: Horror · Atmospheric · Puzzle

The Room Two
Shared: Puzzle · Horror · Mystery

Fran Bow
Shared: Psychological Horror · Story Rich · Horror

Amanda the Adventurer
Shared: Horror · Puzzle · Story Rich

Cube Escape Collection
Shared: Horror · Puzzle · Psychological Horror

Detention
Shared: Horror · Psychological Horror · Puzzle

The Room
Shared: Puzzle · Mystery · Atmospheric

OMORI
Shared: Psychological Horror · Story Rich · Horror

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

Garten of Banban
Shared: Horror · Psychological Horror · Puzzle

DISTRAINT: Deluxe Edition
Shared: Psychological Horror · Horror · Story Rich