Games like The Rite Holds
Games like The Rite Holds include SOMA, Layers of Fear (2016), What Remains of Edith Finch, Still Wakes the Deep, and Little Nightmares II. We matched them by the tags players give The Rite Holds on Steam (Psychological Horror, Horror, Atmospheric, Adventure, and Dark): closest matches first, and among equally close ones the better-known games.

SOMA
Shared: Psychological Horror · Horror · Atmospheric

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

What Remains of Edith Finch
Shared: Atmospheric · Walking Simulator · First-Person

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

Little Nightmares II
Shared: Horror · Adventure · Psychological Horror

Outlast
Shared: Horror · Psychological Horror · Atmospheric

Firewatch
Shared: Atmospheric · Adventure · Walking Simulator

Amnesia: A Machine For Pigs
Shared: Horror · Atmospheric · Psychological Horror

Poppy Playtime
Shared: Horror · Psychological Horror · First-Person

Little Nightmares
Shared: Horror · Atmospheric · Adventure

Visage
Shared: Psychological Horror · Horror · Dark

MiSide
Shared: Psychological Horror · Horror · First-Person

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

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

Mouthwashing
Shared: Psychological Horror · Horror · Atmospheric

ROUTINE
Shared: Psychological Horror · Atmospheric · Horror

Amnesia: Rebirth
Shared: Horror · First-Person · Adventure

Dagon: by H. P. Lovecraft
Shared: Horror · Atmospheric · Psychological Horror

Darkwood
Shared: Horror · Psychological Horror · Adventure

Sally Face - Episode One
Shared: Psychological Horror · Horror · Dark

Blair Witch
Shared: Horror · Psychological Horror · Adventure

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

Scorn
Shared: Horror · Atmospheric · Psychological Horror

Call of Cthulhu®
Shared: Horror · Psychological Horror · Adventure