Games like Maze (The Amazing Labyrinth)
Games like Maze (The Amazing Labyrinth) include LIMBO, Little Nightmares, The Last Campfire, Little Nightmares II, and Chants of Sennaar. We matched them by the tags players give Maze (The Amazing Labyrinth) on Steam (Adventure, Sports, Strategy, Puzzle, and Puzzle Platformer): closest matches first, and among equally close ones the better-known games.

LIMBO
Shared: Puzzle Platformer · Puzzle · Indie

Little Nightmares
Shared: Adventure · Puzzle Platformer · Singleplayer

The Last Campfire
Shared: Adventure · Puzzle · Singleplayer

Little Nightmares II
Shared: Adventure · Puzzle · Singleplayer

Chants of Sennaar
Shared: Adventure · Puzzle · Singleplayer

Portal 2
Shared: Puzzle · Singleplayer · Puzzle Platformer

COCOON
Shared: Adventure · Puzzle · Puzzle Platformer

Seen
Shared: Adventure · Indie · Puzzle

FAR: Lone Sails
Shared: Adventure · Singleplayer · Puzzle

The Legend of Bum-Bo
Shared: Adventure · Strategy · Indie

Monument Valley
Shared: Adventure · Puzzle · Singleplayer

Viewfinder
Shared: Puzzle · Puzzle Platformer · Adventure

INSIDE
Shared: Puzzle Platformer · Adventure · Indie

Human Fall Flat
Shared: Puzzle · Adventure · Puzzle Platformer

Moncage
Shared: Puzzle · Adventure · Singleplayer

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

Supraland
Shared: Adventure · Puzzle Platformer · Singleplayer

FEZ
Shared: Puzzle · Adventure · Indie

Polarity
Shared: Puzzle · Adventure · Strategy

Stray
Shared: Adventure · Singleplayer · Puzzle

Nimbatus - The Space Drone Constructor
Shared: Adventure · Strategy · Singleplayer

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

BEEP
Shared: Adventure · Indie · Singleplayer

The Escapists
Shared: Strategy · Singleplayer · Adventure