Games like The old house
Games like The old house include SOMA, Layers of Fear (2016), MiSide, What Remains of Edith Finch, and Little Nightmares II. We matched them by the tags players give The old house on Steam (Adventure, Psychological Horror, Horror, Detective, and Puzzle): closest matches first, and among equally close ones the better-known games.

SOMA
Shared: Psychological Horror · Horror · Story Rich

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

MiSide
Shared: Psychological Horror · Horror · Story Rich

What Remains of Edith Finch
Shared: Story Rich · Adventure · Walking Simulator

Little Nightmares II
Shared: Adventure · Horror · Puzzle

Inside the Backrooms
Shared: Horror · Psychological Horror · Puzzle

Still Wakes the Deep
Shared: Psychological Horror · Horror · Adventure

Fran Bow
Shared: Psychological Horror · Adventure · Horror

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

OMORI
Shared: Psychological Horror · Story Rich · Pixel Graphics

Firewatch
Shared: Adventure · Story Rich · Walking Simulator

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

Mouthwashing
Shared: Psychological Horror · Horror · Story Rich

Outer Wilds
Shared: Adventure · Story Rich · Exploration

The Exit 8
Shared: Horror · Puzzle · Psychological Horror

Little Nightmares
Shared: Adventure · Horror · Puzzle

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

Detention
Shared: Horror · Psychological Horror · Adventure

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

FAITH: The Unholy Trinity
Shared: Horror · Psychological Horror · Pixel Graphics

Poppy Playtime
Shared: Horror · Puzzle · Psychological Horror

Mad Father
Shared: Psychological Horror · Horror · Adventure

Endacopia
Shared: Adventure · Psychological Horror · Horror

The Painscreek Killings
Shared: Detective · Puzzle · Horror