Games like The Rotting Man
Games like The Rotting Man include Mouthwashing, No, I'm not a Human, MiSide, Buckshot Roulette, and Layers of Fear (2016). We matched them by the tags players give The Rotting Man on Steam (Indie, Horror, Psychological Horror, Walking Simulator, and First-Person): closest matches first, and among equally close ones the better-known games.

Mouthwashing
Shared: Horror · Psychological Horror · Indie

No, I'm not a Human
Shared: Horror · Psychological Horror · Indie

MiSide
Shared: Psychological Horror · Horror · First-Person

Buckshot Roulette
Shared: Horror · Indie · First-Person

Layers of Fear (2016)
Shared: Horror · Psychological Horror · Walking Simulator

Outlast
Shared: Horror · First-Person · Psychological Horror

KinitoPET
Shared: Horror · Psychological Horror · Indie

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

The Exit 8
Shared: Horror · Walking Simulator · Psychological Horror

Blair Witch
Shared: Horror · Indie · Psychological Horror

Garten of Banban
Shared: Horror · Psychological Horror · First-Person

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

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

Five Nights at Freddy's
Shared: Horror · Indie · Psychological Horror

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

Poppy Playtime
Shared: Horror · First-Person · Singleplayer

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

KARMA: The Dark World
Shared: Horror · Psychological Horror · Walking Simulator

The Stanley Parable
Shared: Indie · Walking Simulator · First-Person

SOMA
Shared: Horror · Psychological Horror · First-Person

CloverPit
Shared: Psychological Horror · Horror · First-Person

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

[Chillas Art] The Convenience Store
Shared: Indie · Horror · Psychological Horror

The Cabin Factory
Shared: Horror · Psychological Horror · Walking Simulator