Games like Amazing Maze
Games like Amazing Maze include Portal, LIMBO, Portal 2, Planet of Lana, and Defy Gravity Extended. We matched them by the tags players give Amazing Maze on Steam (Action, Casual, Indie, Puzzle Platformer, and 3D Platformer): closest matches first, and among equally close ones the better-known games.

Portal
Shared: Puzzle Platformer · 3D Platformer · Action

LIMBO
Shared: Indie · Puzzle Platformer · Platformer

Portal 2
Shared: Platformer · Puzzle Platformer · Singleplayer

Planet of Lana
Shared: Action · Puzzle Platformer · Atmospheric

Defy Gravity Extended
Shared: Puzzle Platformer · Indie · Platformer

Pumpkin Jack
Shared: Action · Indie · 3D Platformer

EDGE
Shared: Action · Puzzle Platformer · Indie

Kao the Kangaroo: Round 2 (2003 re-release)
Shared: Action · Casual · 3D Platformer

Chained Together
Shared: Casual · Platformer · Puzzle Platformer

Refunct
Shared: 3D Platformer · Casual · Puzzle Platformer

Minimalism
Shared: Casual · Action · Indie

Hollow Knight
Shared: Platformer · Indie · Singleplayer

INSIDE
Shared: Puzzle Platformer · Indie · Atmospheric

Getting Over It with Bennett Foddy
Shared: Indie · Singleplayer · Platformer

Superflight
Shared: Indie · Casual · Action

Clustertruck
Shared: Action · 3D Platformer · Indie

A Dance of Fire and Ice
Shared: Indie · Singleplayer · Casual

Nihilumbra
Shared: Indie · Casual · Platformer

Timberman
Shared: Casual · Indie · Action

Sparkle 2 Evo
Shared: Casual · Indie · Action

Pinstripe
Shared: Indie · Casual · Puzzle Platformer

Crash Bandicoot™ N. Sane Trilogy
Shared: 3D Platformer · Platformer · Action

MO:Astray
Shared: Action · Indie · Puzzle Platformer

A Story About My Uncle
Shared: Indie · Platformer · 3D Platformer