Games like Haunted
Games like Haunted include Syberia, Monument Valley, The Room, There Is No Game: Wrong Dimension, and Rise of the Tomb Raider™. We matched them by the tags players give Haunted on Steam (Adventure, Casual, Point & Click, Female Protagonist, and Singleplayer): closest matches first, and among equally close ones the better-known games.

Syberia
Shared: Adventure · Point & Click · Casual

Monument Valley
Shared: Adventure · Casual · Puzzle

The Room
Shared: Point & Click · Adventure · Puzzle

There Is No Game: Wrong Dimension
Shared: Adventure · Point & Click · Puzzle

Rise of the Tomb Raider™
Shared: Adventure · Female Protagonist · Singleplayer

Iris.Fall
Shared: Adventure · Casual · Puzzle

Tomb Raider Game of the Year
Shared: Adventure · Female Protagonist · Singleplayer

Broken Age
Shared: Adventure · Point & Click · Singleplayer

Chants of Sennaar
Shared: Adventure · Singleplayer · Puzzle

The Room 4: Old Sins
Shared: Adventure · Point & Click · Puzzle

Gorogoa
Shared: Puzzle · Casual · Singleplayer

Enigmatis: The Ghosts of Maple Creek
Shared: Adventure · Point & Click · Casual

Storyteller
Shared: Point & Click · Adventure · Puzzle

Florence
Shared: Casual · Adventure · Female Protagonist

Portal 2
Shared: Singleplayer · Puzzle · Female Protagonist

Lil' Guardsman
Shared: Adventure · Casual · Point & Click

Fran Bow
Shared: Point & Click · Adventure · Puzzle

Lara Croft GO
Shared: Adventure · Female Protagonist · Puzzle

Syberia 3
Shared: Adventure · Point & Click · Female Protagonist

Return to Monkey Island
Shared: Adventure · Point & Click · Singleplayer

Neighbours back From Hell
Shared: Point & Click · Adventure · Puzzle

Silence
Shared: Adventure · Point & Click · Singleplayer

Enigmatis 2: The Mists of Ravenwood
Shared: Adventure · Casual · Point & Click

The Walking Dead: Season Two
Shared: Adventure · Point & Click · Singleplayer