Games like The Enchanted Worlds
Games like The Enchanted Worlds include Storyteller, The Witness, Slime Rancher, There Is No Game: Wrong Dimension, and Chants of Sennaar. We matched them by the tags players give The Enchanted Worlds on Steam (Exploration, Interactive Fiction, Puzzle, Point & Click, and Casual): closest matches first, and among equally close ones the better-known games.

Storyteller
Shared: Puzzle · Interactive Fiction · Point & Click

The Witness
Shared: Exploration · Puzzle · First-Person

Slime Rancher
Shared: Exploration · First-Person · Colorful

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

Chants of Sennaar
Shared: Puzzle · Point & Click · Colorful

Gorogoa
Shared: Puzzle · Casual · Point & Click

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

The Room
Shared: Puzzle · Point & Click · Mystery

Blue Prince
Shared: Exploration · Puzzle · First-Person

Big Walk
Shared: Exploration · Puzzle · Casual

Morphopolis
Shared: Puzzle · Point & Click · Casual

Murders on the Yangtze River
Shared: Puzzle · Exploration · Adventure

Unboxing the Cryptic Killer
Shared: Puzzle · Point & Click · Exploration

Lost in Play
Shared: Puzzle · Point & Click · 2D

No Case Should Remain Unsolved
Shared: Interactive Fiction · Puzzle · Point & Click

The Roottrees are Dead
Shared: Puzzle · Point & Click · Interactive Fiction

The Case of the Golden Idol
Shared: Puzzle · Point & Click · Interactive Fiction

Amanda the Adventurer 2
Shared: Interactive Fiction · Puzzle · Exploration

Submachine: Legacy
Shared: Puzzle · Point & Click · Exploration

Her Story
Shared: Interactive Fiction · Exploration · Puzzle

Strange Jigsaws
Shared: Puzzle · Casual · 2D

Is This Seat Taken?
Shared: Puzzle · Casual · Logic

Call of the Sea
Shared: Puzzle · First-Person · Exploration

The House of Da Vinci
Shared: Puzzle · Exploration · Point & Click