Games like The Sleeping Sickness
Games like The Sleeping Sickness include The Casting of Frank Stone™, No, I'm not a Human, The Test, The Test: Hypothesis Rising, and Until Dawn™. We matched them by the tags players give The Sleeping Sickness on Steam (Horror, Choose Your Own Adventure, Narrative, Choices Matter, and Mystery): closest matches first, and among equally close ones the better-known games.

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

No, I'm not a Human
Shared: Horror · Choices Matter · Multiple Endings

The Test
Shared: Choose Your Own Adventure · Multiple Endings · Choices Matter

The Test: Hypothesis Rising
Shared: Horror · Choices Matter · Choose Your Own Adventure

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

Scarlet Hollow
Shared: Horror · Choices Matter · Multiple Endings

The Wolf Among Us
Shared: Choose Your Own Adventure · Choices Matter · Multiple Endings

Sally Face - Episode One
Shared: Horror · Story Rich · Mystery

The Test: Final Revelation
Shared: Choose Your Own Adventure · Choices Matter · Horror

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

Oxenfree
Shared: Choices Matter · Horror · Story Rich

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

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

Dagon: by H. P. Lovecraft
Shared: Horror · Atmospheric · Choose Your Own Adventure

INSIDE
Shared: Horror · Atmospheric · Story Rich

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

Heavy Rain
Shared: Choices Matter · Multiple Endings · Story Rich

Tiny Bunny
Shared: Horror · Choices Matter · Story Rich

The Quarry
Shared: Horror · Choices Matter · Multiple Endings

Phasmophobia
Shared: Horror · Investigation · Mystery

While We Wait Here
Shared: Horror · Choose Your Own Adventure · Multiple Endings

Strange Horticulture
Shared: Mystery · Investigation · Dark

Homicipher
Shared: Horror · Choose Your Own Adventure · Multiple Endings

Breakout 13
Shared: Choose Your Own Adventure · Choices Matter · Interactive Fiction