Games like BURN
Games like BURN include The Test, The Wolf Among Us, Far Away, Mirror 2: Project X, and Suzerain. We matched them by the tags players give BURN on Steam (Visual Novel, Choose Your Own Adventure, Multiple Endings, Choices Matter, and Female Protagonist): closest matches first, and among equally close ones the better-known games.

The Test
Shared: Choose Your Own Adventure · Multiple Endings · Visual Novel

The Wolf Among Us
Shared: Multiple Endings · Choose Your Own Adventure · Visual Novel

Far Away
Shared: Visual Novel · Choices Matter · Singleplayer

Mirror 2: Project X
Shared: Visual Novel · Female Protagonist · Multiple Endings

Suzerain
Shared: Visual Novel · Choose Your Own Adventure · Choices Matter

Homicipher
Shared: Visual Novel · Female Protagonist · Multiple Endings

Volcano Princess
Shared: Multiple Endings · Choices Matter · Female Protagonist

Life is Strange: True Colors
Shared: Choices Matter · Multiple Endings · Choose Your Own Adventure

Life is Strange: Before the Storm
Shared: Choices Matter · Female Protagonist · Choose Your Own Adventure

Love Is All Around
Shared: Visual Novel · Singleplayer · Multiple Endings

Detroit: Become Human
Shared: Choices Matter · Multiple Endings · Singleplayer

The Test: Hypothesis Rising
Shared: Multiple Endings · Visual Novel · Choices Matter

Road to Empress I
Shared: Choices Matter · Visual Novel · Female Protagonist

The Test: Final Revelation
Shared: Choose Your Own Adventure · Visual Novel · Multiple Endings

Late Shift
Shared: Choose Your Own Adventure · Choices Matter · Multiple Endings

The Henry Stickmin Collection
Shared: Choose Your Own Adventure · Multiple Endings · Choices Matter

The Life and Suffering of Sir Brante
Shared: Choices Matter · Choose Your Own Adventure · Visual Novel

Road 96
Shared: Choices Matter · Multiple Endings · Choose Your Own Adventure

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

Until Dawn™
Shared: Choices Matter · Multiple Endings · Choose Your Own Adventure

Minds Beneath Us
Shared: Visual Novel · Choices Matter · Choose Your Own Adventure

Emily is Away <3
Shared: Choices Matter · Multiple Endings · Visual Novel

Slay the Princess — The Pristine Cut
Shared: Visual Novel · Choices Matter · Choose Your Own Adventure

The NOexistenceN of you AND me
Shared: Visual Novel · Multiple Endings · Interactive Fiction