Games like Metamorphosis
Games like Metamorphosis include The Wolf Among Us, Far Away, Suzerain, The Test, and Fate/stay night REMASTERED. We matched them by the tags players give Metamorphosis on Steam (Adventure, Visual Novel, Choices Matter, Multiple Endings, and Horror): closest matches first, and among equally close ones the better-known games.

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

Far Away
Shared: Visual Novel · Choices Matter · Adventure

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

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

Fate/stay night REMASTERED
Shared: Visual Novel · Anime · Adventure

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

Tiny Bunny
Shared: Visual Novel · Horror · Choices Matter

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

Slay the Princess — The Pristine Cut
Shared: Visual Novel · Choices Matter · Horror

Homicipher
Shared: Visual Novel · Horror · Multiple Endings

PARANORMASIGHT: The Seven Mysteries of Honjo
Shared: Adventure · Visual Novel · Horror

STEINS;GATE
Shared: Visual Novel · Anime · Multiple Endings

NEEDY STREAMER OVERLOAD
Shared: Visual Novel · Anime · Multiple Endings

Endless Monday: Dreams and Deadlines
Shared: Visual Novel · Choices Matter · Choose Your Own Adventure

Return to Shironagasu Island
Shared: Adventure · Visual Novel · Horror

Love, Money, Rock'n'Roll
Shared: Visual Novel · Anime · Multiple Endings

The Test: Final Revelation
Shared: Choices Matter · Visual Novel · Multiple Endings

Until Dawn™
Shared: Choices Matter · Adventure · Multiple Endings

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

Milk inside a bag of milk inside a bag of milk
Shared: Visual Novel · Horror · Adventure

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

Tales of the Black Forest
Shared: Adventure · Horror · Visual Novel

Urban Myth Dissolution Center
Shared: Visual Novel · Adventure · 2D

That's not my Neighbor
Shared: Adventure · Choices Matter · Horror