Games like Fugue
Games like Fugue include Circuits, Tetris® Effect: Connected, There Is No Game: Wrong Dimension, Firework, and LIMBO. We matched them by the tags players give Fugue on Steam (Indie, Puzzle, and Music): closest matches first, and among equally close ones the better-known games.

Circuits
Shared: Puzzle · Indie · Music

Tetris® Effect: Connected
Shared: Puzzle · Music · Indie

There Is No Game: Wrong Dimension
Shared: Indie · Puzzle

Firework
Shared: Indie · Puzzle

LIMBO
Shared: Indie · Puzzle

Audiosurf 2
Shared: Indie · Music · Puzzle

AudioSurf
Shared: Indie · Music · Puzzle

Baba Is You
Shared: Indie · Puzzle

Chants of Sennaar
Shared: Puzzle · Indie

Gorogoa
Shared: Puzzle · Indie

Pony Island
Shared: Indie · Puzzle

Papers, Please
Shared: Indie · Puzzle

A Dance of Fire and Ice
Shared: Music · Indie

Zup! S
Shared: Puzzle · Indie

Antichamber
Shared: Puzzle · Indie

Samsara Room
Shared: Indie · Puzzle

Melatonin
Shared: Indie · Music · Puzzle

Geometry Dash
Shared: Music · Indie

OneShot
Shared: Indie · Puzzle

The Last Campfire
Shared: Puzzle · Indie

FEZ
Shared: Puzzle · Indie

Zup!
Shared: Puzzle · Indie

Pikuniku
Shared: Indie · Puzzle

Gunpoint
Shared: Indie · Puzzle