Games like The House Remembers
Games like The House Remembers include Superliminal, MiSide, Portal 2, Sally Face - Episode One, and Red Dead Redemption 2. We matched them by the tags players give The House Remembers on Steam (Psychological Horror, Story Rich, Action, Singleplayer, and Realistic): closest matches first, and among equally close ones the better-known games.

Superliminal
Shared: Puzzle · Singleplayer · Psychological

MiSide
Shared: Psychological Horror · Story Rich · Singleplayer

Portal 2
Shared: Singleplayer · Story Rich · Puzzle

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

Red Dead Redemption 2
Shared: Story Rich · Action · Realistic

In Sound Mind
Shared: Psychological Horror · Story Rich · Action

Poppy Playtime
Shared: Singleplayer · Psychological Horror · Puzzle

Fran Bow
Shared: Psychological Horror · Story Rich · Puzzle

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

Portal
Shared: Puzzle · Singleplayer · Action

Ready or Not
Shared: Realistic · Singleplayer · Psychological Horror

Buckshot Roulette
Shared: Singleplayer · Psychological Horror · Psychological

Kingdom Come: Deliverance II
Shared: Story Rich · Singleplayer · Realistic

Garten of Banban
Shared: Psychological Horror · Singleplayer · Puzzle

Mouthwashing
Shared: Psychological Horror · Story Rich · Psychological

Half-Life 2
Shared: Action · Story Rich · Singleplayer

BONEWORKS
Shared: Action · Singleplayer · Physics

Bendy and the Ink Machine
Shared: Singleplayer · Puzzle · Story Rich

SILENT HILL 2
Shared: Psychological Horror · Story Rich · Psychological

Getting Over It with Bennett Foddy
Shared: Psychological Horror · Singleplayer · Physics

What Remains of Edith Finch
Shared: Story Rich · Singleplayer · Psychological Horror

The Complex: Expedition
Shared: Psychological Horror · Singleplayer · Realistic

Kingdom Come: Deliverance
Shared: Singleplayer · Story Rich · Realistic

SOMA
Shared: Psychological Horror · Story Rich · Singleplayer