Games like Triage
Games like Triage include No, I'm not a Human, Undertale, The Coffin of Andy and Leyley, Detroit: Become Human, and Mouthwashing. We matched them by the tags players give Triage on Steam (Immersive, Story Rich, Choices Matter, Multiple Endings, and Dark): closest matches first, and among equally close ones the better-known games.

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

Undertale
Shared: Story Rich · Choices Matter · Multiple Endings

The Coffin of Andy and Leyley
Shared: Story Rich · Multiple Endings · Choices Matter

Detroit: Become Human
Shared: Story Rich · Choices Matter · Multiple Endings

Mouthwashing
Shared: Story Rich · Psychological Horror · Retro

Beholder
Shared: Choices Matter · Story Rich · Dark

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

The Test
Shared: Story Rich · Multiple Endings · Choices Matter

MiSide
Shared: Story Rich · Psychological Horror · First-Person

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

SOMA
Shared: Story Rich · Psychological Horror · Dark

The Casting of Frank Stone™
Shared: Choices Matter · Multiple Endings · Story Rich

Tiny Bunny
Shared: Story Rich · Dark · Choices Matter

Death and Taxes
Shared: Story Rich · Choices Matter · Multiple Endings

Road 96
Shared: Choices Matter · Story Rich · First-Person

Layers of Fear (2016)
Shared: Story Rich · Psychological Horror · First-Person

Beholder 2
Shared: Choices Matter · Story Rich · Multiple Endings

[Nightmare Files] Clap Clap
Shared: Psychological Horror · Retro · Singleplayer

Dishonored
Shared: First-Person · Story Rich · Multiple Endings

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

Slay the Princess — The Pristine Cut
Shared: Choices Matter · Story Rich · Psychological Horror

Kingdom Come: Deliverance II
Shared: Story Rich · First-Person · Singleplayer

THRESHOLD
Shared: Dark · Story Rich · Psychological Horror

Papers, Please
Shared: Multiple Endings · Story Rich · Singleplayer