Games like The Monster Under Your Skin
Games like The Monster Under Your Skin include Disco Elysium - The Final Cut, The Witcher 3: Wild Hunt — Remastered, OneShot, Detroit: Become Human, and The Life and Suffering of Sir Brante. We matched them by the tags players give The Monster Under Your Skin on Steam (Text-Based, Surreal, Choices Matter, Story Rich, and Visual Novel): closest matches first, and among equally close ones the better-known games.

Disco Elysium - The Final Cut
Shared: Choices Matter · Story Rich · Atmospheric

The Witcher 3: Wild Hunt — Remastered
Shared: Story Rich · Atmospheric · Choices Matter

OneShot
Shared: Story Rich · Atmospheric · Choices Matter

Detroit: Become Human
Shared: Choices Matter · Story Rich · Singleplayer

The Life and Suffering of Sir Brante
Shared: Choices Matter · Story Rich · Text-Based

The Coffin of Andy and Leyley
Shared: Story Rich · Psychological · Visual Novel

The Wolf Among Us
Shared: Story Rich · Choices Matter · Adventure

Milk outside a bag of milk outside a bag of milk
Shared: Visual Novel · Story Rich · Psychological

No, I'm not a Human
Shared: Choices Matter · Story Rich · Atmospheric

The Test
Shared: Story Rich · Choices Matter · Psychological

Tiny Bunny
Shared: Visual Novel · Story Rich · Atmospheric

STEINS;GATE
Shared: Story Rich · Visual Novel · Choices Matter

Hellblade: Senua's Sacrifice
Shared: Atmospheric · Story Rich · Psychological

The Beginner's Guide
Shared: Story Rich · Atmospheric · Surreal

Suzerain
Shared: Visual Novel · Choices Matter · Text-Based

Raging Loop
Shared: Visual Novel · Story Rich · Adventure

Oxenfree
Shared: Choices Matter · Story Rich · Atmospheric

The NOexistenceN of you AND me
Shared: Visual Novel · Story Rich · Surreal

Roadwarden
Shared: Text-Based · Story Rich · Choices Matter

Mouthwashing
Shared: Story Rich · Atmospheric · Psychological

Life is Strange: Before the Storm
Shared: Choices Matter · Story Rich · Atmospheric

Minds Beneath Us
Shared: Story Rich · Choices Matter · Atmospheric

Undertale
Shared: Choices Matter · Story Rich · Singleplayer

Firewatch
Shared: Story Rich · Atmospheric · Adventure