Games like The Metamorphosis
Games like The Metamorphosis include Slay the Princess — The Pristine Cut, The Wolf Among Us, Tiny Bunny, Suzerain, and Pentiment. We matched them by the tags players give The Metamorphosis on Steam (Visual Novel, Interactive Fiction, Hand-drawn, Comic Book, and Based On A Novel): closest matches first, and among equally close ones the better-known games.

Slay the Princess — The Pristine Cut
Shared: Visual Novel · Hand-drawn · Story Rich

The Wolf Among Us
Shared: Visual Novel · Story Rich · Adventure

Tiny Bunny
Shared: Visual Novel · Story Rich · Interactive Fiction

Suzerain
Shared: Visual Novel · Interactive Fiction · Choose Your Own Adventure

Pentiment
Shared: Interactive Fiction · Hand-drawn · Story Rich

The Hungry Lamb: Traveling in the Late Ming Dynasty
Shared: Visual Novel · Interactive Fiction · Story Rich

Storyteller
Shared: Interactive Fiction · Point & Click · Hand-drawn

Sally Face - Episode One
Shared: Story Rich · Adventure · Point & Click

Dagon: by H. P. Lovecraft
Shared: Visual Novel · Interactive Fiction · Story Rich

Endless Monday: Dreams and Deadlines
Shared: Visual Novel · Interactive Fiction · Hand-drawn

Ken Follett's The Pillars of the Earth
Shared: Visual Novel · Point & Click · Interactive Fiction

The Crown of Leaves
Shared: Visual Novel · Point & Click · Story Rich

No Case Should Remain Unsolved
Shared: Interactive Fiction · Visual Novel · Point & Click

The Walking Dead
Shared: Point & Click · Story Rich · Adventure

Phoenix Wright: Ace Attorney Trilogy
Shared: Visual Novel · Story Rich · Mystery

Until Then
Shared: Visual Novel · Interactive Fiction · Story Rich

Unforeseen Incidents
Shared: Point & Click · Interactive Fiction · Hand-drawn

The Life and Suffering of Sir Brante
Shared: Interactive Fiction · Visual Novel · Story Rich

Lay a Beauty to Rest: The Darkness Peach Blossom Spring
Shared: Visual Novel · Interactive Fiction · Adventure

The Mermaid Mask
Shared: Interactive Fiction · Visual Novel · Point & Click

Gorogoa
Shared: Hand-drawn · Point & Click · Atmospheric

Goodbye Volcano High
Shared: Visual Novel · Hand-drawn · Interactive Fiction

Sanfu
Shared: Visual Novel · Hand-drawn · Mystery

Batman - The Telltale Series
Shared: Story Rich · Adventure · Point & Click