Games like HANGMAN
Games like HANGMAN include Poppy Playtime, Sally Face - Episode One, Firework, LIMBO, and Fran Bow. We matched them by the tags players give HANGMAN on Steam (Dark, Minimalist, Puzzle, 2D, and Psychological Horror): closest matches first, and among equally close ones the better-known games.

Poppy Playtime
Shared: Puzzle · Horror · Dark

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

Firework
Shared: Puzzle · Horror · 2D

LIMBO
Shared: Puzzle · Dark · 2D

Fran Bow
Shared: Psychological Horror · Puzzle · Dark

DISTRAINT: Deluxe Edition
Shared: Psychological Horror · 2D · Horror

Little Nightmares II
Shared: Dark · Puzzle · Horror

Pony Island
Shared: Puzzle · Psychological Horror · Dark

Buckshot Roulette
Shared: Dark · Horror · Puzzle

Rusty Lake Paradise
Shared: Puzzle · Psychological Horror · Horror

Little Nightmares
Shared: Dark · Horror · Puzzle

Samsara Room
Shared: Puzzle · Psychological Horror · Indie

Cube Escape Collection
Shared: Puzzle · Psychological Horror · Horror

Zup! S
Shared: Puzzle · 2D · Minimalist

Garten of Banban
Shared: Horror · Psychological Horror · Puzzle

DARQ: Complete Edition
Shared: Dark · Puzzle · Horror

SOMA
Shared: Psychological Horror · Dark · Horror

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

OMORI
Shared: Psychological Horror · 2D · Hand-drawn

Inscryption
Shared: Dark · Puzzle · Horror

No, I'm not a Human
Shared: Psychological Horror · Horror · Dark

Ultimate Custom Night
Shared: Horror · Dark · Free to Play

Detention
Shared: Horror · Puzzle · Psychological Horror

INSIDE
Shared: Dark · Horror · Puzzle