Games like DeadWeight: A Lullaby
Games like DeadWeight: A Lullaby include Undertale, The Coffin of Andy and Leyley, No, I'm not a Human, Detroit: Become Human, and The Test. We matched them by the tags players give DeadWeight: A Lullaby on Steam (Story Rich, Multiple Endings, Psychological, Interactive Fiction, and Psychedelic): closest matches first, and among equally close ones the better-known games.
Undertale
Shared: Story Rich · Multiple Endings · Choices Matter
The Coffin of Andy and Leyley
Shared: Story Rich · Psychological · Multiple Endings
No, I'm not a Human
Shared: Story Rich · Choices Matter · Multiple Endings
Detroit: Become Human
Shared: Story Rich · Multiple Endings · Choices Matter
The Test
Shared: Multiple Endings · Story Rich · Psychological
OneShot
Shared: Story Rich · Pixel Graphics · Multiple Endings
Milk outside a bag of milk outside a bag of milk
Shared: Story Rich · Psychedelic · Multiple Endings
Late Shift
Shared: Multiple Endings · Story Rich · Choices Matter
OMORI
Shared: Story Rich · Multiple Endings · Pixel Graphics
Hellblade: Senua's Sacrifice
Shared: Psychological · Story Rich · Atmospheric
The Witcher 3: Wild Hunt — Remastered
Shared: Story Rich · Choices Matter · Atmospheric
The Casting of Frank Stone™
Shared: Multiple Endings · Story Rich · Choices Matter
The NOexistenceN of you AND me
Shared: Multiple Endings · Story Rich · Interactive Fiction
To the Moon
Shared: Story Rich · Interactive Fiction · Pixel Graphics
The Hungry Lamb: Traveling in the Late Ming Dynasty
Shared: Multiple Endings · Story Rich · Interactive Fiction
Heavy Rain
Shared: Multiple Endings · Story Rich · Choices Matter
Coffee Talk
Shared: Story Rich · Interactive Fiction · Pixel Graphics
Beholder
Shared: Choices Matter · Story Rich · Multiple Endings
INMOST
Shared: Story Rich · Pixel Graphics · Psychological
Until Then
Shared: Story Rich · Interactive Fiction · Psychological
The Wolf Among Us
Shared: Story Rich · Multiple Endings · Choices Matter
Tiny Bunny
Shared: Story Rich · Dark · Choices Matter
INSIDE
Shared: Story Rich · Dark · Multiple Endings
Stray Gods: The Roleplaying Musical
Shared: Story Rich · Interactive Fiction · Choices Matter