Games like Obey the Voice™
Games like Obey the Voice™ include Firewatch, Outlast, SOMA, What Remains of Edith Finch, and Layers of Fear (2016). We matched them by the tags players give Obey the Voice™ on Steam (Horror, Adventure, Atmospheric, Dark, and Exploration): closest matches first, and among equally close ones the better-known games.

Firewatch
Shared: Adventure · Atmospheric · Walking Simulator

Outlast
Shared: Horror · Atmospheric · First-Person

SOMA
Shared: Horror · Atmospheric · Dark

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

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

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

Visage
Shared: Horror · Dark · Atmospheric

ROUTINE
Shared: Atmospheric · Adventure · Horror

Mouthwashing
Shared: Horror · Atmospheric · Dark

Little Nightmares
Shared: Horror · Adventure · Atmospheric

Amenti
Shared: Horror · Adventure · Dark

Poppy Playtime
Shared: Horror · Singleplayer · First-Person

Little Nightmares II
Shared: Horror · Adventure · Dark

Fears to Fathom - Ironbark Lookout
Shared: Horror · Atmospheric · Adventure

Buckshot Roulette
Shared: Horror · Dark · First-Person

Outlast 2
Shared: Horror · First-Person · Dark

Welcome to Kowloon
Shared: Horror · Atmospheric · Adventure

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

Summer of '58
Shared: Horror · Atmospheric · First-Person

Amnesia: The Dark Descent
Shared: Horror · Atmospheric · First-Person

No, I'm not a Human
Shared: Horror · Atmospheric · Singleplayer

Hellblade: Senua's Sacrifice
Shared: Atmospheric · Adventure · Horror

Blair Witch
Shared: Horror · Adventure · First-Person

Bramble: The Mountain King
Shared: Horror · Adventure · Atmospheric