Games like EscapeThisBigMaze!
Games like EscapeThisBigMaze! include Totally Accurate Battle Simulator, Papers, Please, COCOON, SchoolBoy Runaway, and Chants of Sennaar. We matched them by the tags players give EscapeThisBigMaze! on Steam (Singleplayer, Simulation, Adventure, 1990's, and 3D): closest matches first, and among equally close ones the better-known games.

Totally Accurate Battle Simulator
Shared: Simulation · Singleplayer · Adventure

Papers, Please
Shared: Simulation · Singleplayer · Indie

COCOON
Shared: Adventure · Puzzle · Singleplayer

SchoolBoy Runaway
Shared: Simulation · Adventure · Puzzle

Chants of Sennaar
Shared: Singleplayer · Adventure · Puzzle

鬼谷八荒 Tale of Immortal
Shared: Singleplayer · Simulation · Adventure

The Last Campfire
Shared: Singleplayer · Adventure · Puzzle

Sultan's Game
Shared: Singleplayer · Simulation · Adventure

Thief Simulator
Shared: Singleplayer · Simulation · Adventure

House Flipper
Shared: Simulation · Singleplayer · Adventure

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

Stray
Shared: Adventure · Singleplayer · Puzzle

Little Nightmares II
Shared: Singleplayer · Adventure · Puzzle

Slime Rancher
Shared: Singleplayer · Adventure · Simulation

Slime Rancher 2
Shared: Singleplayer · Adventure · Simulation

Moncage
Shared: Singleplayer · Adventure · Puzzle

Little Nightmares
Shared: Singleplayer · Adventure · Puzzle

Monument Valley
Shared: Singleplayer · Adventure · Puzzle

[Chillas Art] The Closing Shift
Shared: Simulation · Adventure · 1990's

Blue Prince
Shared: Singleplayer · Puzzle · Adventure

Car Mechanic Simulator 2021
Shared: Simulation · Singleplayer · 3D

The Room Three
Shared: Adventure · Singleplayer · Puzzle

Cheap Car Repair
Shared: Simulation · 1990's · Singleplayer

Youtubers Life
Shared: Singleplayer · Simulation · Adventure