Games like Satan's puzzle 666
Games like Satan's puzzle 666 include Pony Island, LIMBO, Sally Face - Episode One, Firework, and DISTRAINT: Deluxe Edition. We matched them by the tags players give Satan's puzzle 666 on Steam (Demons, Gothic, Puzzle, Dark, and Text-Based): closest matches first, and among equally close ones the better-known games.

Pony Island
Shared: Puzzle · Demons · Dark

LIMBO
Shared: Puzzle · Dark · 2D

Sally Face - Episode One
Shared: Dark · Puzzle · Horror

Firework
Shared: Puzzle · 2D · Horror

DISTRAINT: Deluxe Edition
Shared: 2D · Dark · Puzzle

The Room Two
Shared: Puzzle · Atmospheric · Lovecraftian

Little Nightmares
Shared: Dark · Puzzle · Atmospheric

Little Nightmares II
Shared: Puzzle · Dark · Horror

Poppy Playtime
Shared: Puzzle · Dark · Horror

The Room Three
Shared: Puzzle · Lovecraftian · Atmospheric

Amnesia: The Dark Descent
Shared: Puzzle · Dark · Horror

Scorn
Shared: Puzzle · Dark · Atmospheric

The Room
Shared: Puzzle · Atmospheric · Horror

Little Inferno
Shared: Puzzle · Satire · Casual

SOMA
Shared: Dark · Atmospheric · Horror

INSIDE
Shared: Dark · Atmospheric · Puzzle

ANIMAL WELL
Shared: Puzzle · 2D · Atmospheric

Strange Horticulture
Shared: Puzzle · Dark · Atmospheric

Look Outside
Shared: Lovecraftian · 2D · Horror

Fran Bow
Shared: Puzzle · Dark · Horror

The Baby In Yellow
Shared: Puzzle · Lovecraftian · Demons

Glass Masquerade
Shared: Puzzle · Atmospheric · 2D

Dagon: by H. P. Lovecraft
Shared: Lovecraftian · Dark · Atmospheric

Zup! S
Shared: Puzzle · 2D · Casual