Games like The Dead House
Games like The Dead House include Poppy Playtime, Outlast, Firewatch, Resident Evil Village, and Resident Evil 7 Biohazard. We matched them by the tags players give The Dead House on Steam (Horror, Psychological Horror, Singleplayer, First-Person, and Action): closest matches first, and among equally close ones the better-known games.

Poppy Playtime
Shared: Horror · Singleplayer · First-Person

Outlast
Shared: Horror · First-Person · Psychological Horror

Firewatch
Shared: Adventure · First-Person · Singleplayer

Resident Evil Village
Shared: Horror · Singleplayer · First-Person

Resident Evil 7 Biohazard
Shared: Horror · Singleplayer · First-Person

Layers of Fear (2016)
Shared: Horror · Psychological Horror · First-Person

MiSide
Shared: Psychological Horror · Horror · First-Person

What Remains of Edith Finch
Shared: First-Person · Mystery · Singleplayer

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

Amnesia: A Machine For Pigs
Shared: Horror · Psychological Horror · First-Person

Escape the Backrooms
Shared: Horror · Psychological Horror · First-Person

Outlast 2
Shared: Horror · Psychological Horror · First-Person

Alan Wake
Shared: Horror · Action · Singleplayer

SOMA
Shared: Horror · Psychological Horror · First-Person

Garten of Banban
Shared: Horror · Singleplayer · Psychological Horror

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

Bendy and the Dark Revival
Shared: Horror · Singleplayer · First-Person

Dark Deception
Shared: Horror · Singleplayer · Psychological Horror

Little Nightmares II
Shared: Horror · Singleplayer · Psychological Horror

Still Wakes the Deep
Shared: Horror · Psychological Horror · First-Person

Five Nights at Freddy's: Security Breach
Shared: Horror · Singleplayer · First-Person

Resident Evil Requiem
Shared: Horror · Action · First-Person

Ghostwire: Tokyo
Shared: Singleplayer · Horror · First-Person

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