Games like Fumiko!
Games like Fumiko! include Superliminal, Viewfinder, Psychonauts 2, LIMBO, and INMOST. We matched them by the tags players give Fumiko! on Steam (Artificial Intelligence, Dystopian , Thriller, Surreal, and Psychological): closest matches first, and among equally close ones the better-known games.

Superliminal
Shared: Surreal · Psychological · Thriller

Viewfinder
Shared: Puzzle Platformer · Surreal · Psychological

Psychonauts 2
Shared: Psychological · Platformer · 3D Platformer

LIMBO
Shared: Puzzle Platformer · Platformer · Surreal

INMOST
Shared: Thriller · Psychological · Puzzle Platformer

Cruelty Squad
Shared: Surreal · Dystopian · Psychedelic

Mirror's Edge™ Catalyst
Shared: Platformer · Dystopian · Puzzle Platformer

Hylics 2
Shared: Surreal · Psychedelic · Stylized

Chained Together
Shared: Platformer · Puzzle Platformer · Adventure

Papo & Yo
Shared: Puzzle Platformer · Platformer · 3D Platformer

Frame of Mind
Shared: Platformer · Puzzle Platformer · Surreal

State of Mind
Shared: Dystopian · Sci-fi · Futuristic

Psychonauts
Shared: Platformer · Psychological · Adventure

1000xRESIST
Shared: Thriller · Futuristic · Sci-fi

Observation
Shared: Artificial Intelligence · Sci-fi · Thriller

Nobody Wants to Die
Shared: Dystopian · Thriller · Psychological

Mouthwashing
Shared: Psychological · Surreal · Thriller

TRY AGAIN
Shared: Platformer · Puzzle Platformer · Indie

Creaks
Shared: Surreal · Puzzle Platformer · Stylized

Manifold Garden
Shared: Surreal · Puzzle Platformer · Psychedelic

Shady Part of Me
Shared: Psychological · Platformer · Indie

Hylics
Shared: Surreal · Psychedelic · Indie

Seen
Shared: Platformer · Indie · Dystopian

INDIKA
Shared: Surreal · Psychological · Psychedelic