Games like House
Games like House include Firewatch, What Remains of Edith Finch, The Painscreek Killings, CARIMARA: Beneath the forlorn limbs, and Layers of Fear (2016). We matched them by the tags players give House on Steam (Exploration, Investigation, Horror, Walking Simulator, and Adventure): closest matches first, and among equally close ones the better-known games.

Firewatch
Shared: Adventure · Walking Simulator · Exploration

What Remains of Edith Finch
Shared: Walking Simulator · Exploration · Adventure

The Painscreek Killings
Shared: Investigation · Exploration · Horror

CARIMARA: Beneath the forlorn limbs
Shared: Exploration · Horror · Adventure

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

Amnesia: A Machine For Pigs
Shared: Horror · Walking Simulator · Exploration

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

Phasmophobia
Shared: Horror · Investigation · First-Person

The Vanishing of Ethan Carter
Shared: Exploration · Walking Simulator · Horror

Scanner Sombre
Shared: Exploration · Horror · Walking Simulator

The Forest
Shared: Horror · Adventure · Exploration

The Forgotten City
Shared: Exploration · Adventure · Investigation

SOMA
Shared: Horror · Exploration · Dark

Poppy Playtime
Shared: Horror · First-Person · Singleplayer

Blue Prince
Shared: Exploration · Investigation · First-Person

Kona
Shared: Exploration · Adventure · First-Person

Outer Wilds
Shared: Exploration · Adventure · Horror

The Exit 8
Shared: Exploration · Horror · Walking Simulator

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

Outlast
Shared: Horror · First-Person · Adventure

Killer Frequency
Shared: Horror · Adventure · Walking Simulator

Quern - Undying Thoughts
Shared: Exploration · Adventure · Walking Simulator

Still Wakes the Deep
Shared: Horror · Walking Simulator · First-Person

PEAK
Shared: Exploration · Adventure · First-Person