Games like Metamorphosis
Games like Metamorphosis include What Remains of Edith Finch, Firewatch, Outer Wilds, The Talos Principle, and Return of the Obra Dinn. We matched them by the tags players give Metamorphosis on Steam (Adventure, Story Rich, Puzzle, First-Person, and Atmospheric): closest matches first, and among equally close ones the better-known games.

What Remains of Edith Finch
Shared: Story Rich · Atmospheric · Adventure

Firewatch
Shared: Adventure · Story Rich · Atmospheric

Outer Wilds
Shared: Story Rich · Adventure · Exploration

The Talos Principle
Shared: Puzzle · First-Person · Story Rich

Return of the Obra Dinn
Shared: Puzzle · Story Rich · Atmospheric

The Beginner's Guide
Shared: Story Rich · First-Person · Atmospheric

The Room
Shared: Puzzle · Adventure · Atmospheric

Layers of Fear (2016)
Shared: Atmospheric · First-Person · Story Rich

The Witness
Shared: Puzzle · First-Person · Singleplayer

Blue Prince
Shared: Puzzle · Story Rich · Singleplayer

SOMA
Shared: Story Rich · Atmospheric · Dark

The Vanishing of Ethan Carter
Shared: Atmospheric · Adventure · First-Person

INFRA
Shared: Puzzle · Adventure · First-Person

Portal 2
Shared: Puzzle · Singleplayer · First-Person

Little Nightmares
Shared: Adventure · Atmospheric · Singleplayer

Little Nightmares II
Shared: Adventure · Puzzle · Singleplayer

Fallout 4
Shared: Adventure · Singleplayer · Atmospheric

Poppy Playtime
Shared: Puzzle · Singleplayer · First-Person

Riven
Shared: Adventure · Puzzle · First-Person

Quern - Undying Thoughts
Shared: Adventure · Puzzle · Atmospheric

Amnesia: Rebirth
Shared: Puzzle · Story Rich · First-Person

Amnesia: A Machine For Pigs
Shared: Story Rich · First-Person · Atmospheric

Brothers - A Tale of Two Sons
Shared: Adventure · Story Rich · Atmospheric

Sally Face - Episode One
Shared: Story Rich · Adventure · Puzzle

