Games like Perpetual Mazes
Games like Perpetual Mazes include Slime Rancher, Strange Jigsaws, Carto, DAVE THE DIVER, and Zuma Deluxe. We matched them by the tags players give Perpetual Mazes on Steam (Adventure, Casual, Arcade, Puzzle, and Exploration): closest matches first, and among equally close ones the better-known games.

Slime Rancher
Shared: Adventure · Exploration · Cute

Strange Jigsaws
Shared: Adventure · Casual · Puzzle

Carto
Shared: Puzzle · Adventure · Exploration

DAVE THE DIVER
Shared: Casual · Adventure · Exploration

Zuma Deluxe
Shared: Arcade · Puzzle · Casual

Big Walk
Shared: Puzzle · Adventure · Exploration

TOEM: A Photo Adventure
Shared: Adventure · Puzzle · Exploration

Pikuniku
Shared: Adventure · Casual · Puzzle

Cat Goes Fishing
Shared: Casual · 2D · Cute

Zup! S
Shared: Casual · Puzzle · 2D

Airscape - The Fall of Gravity
Shared: Casual · Exploration · Arcade

Stray
Shared: Adventure · Exploration · Puzzle

Monument Valley
Shared: Adventure · Puzzle · Casual

Scribblenauts Unlimited
Shared: Casual · Adventure · Puzzle

Progressbar95
Shared: Casual · Arcade · Puzzle

FEZ
Shared: Puzzle · Adventure · Exploration

A Short Hike
Shared: Adventure · Exploration · Casual

Spirit of the North
Shared: Adventure · Casual · Puzzle

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

Shelldiver
Shared: Casual · Arcade · 2D

Peggle Deluxe
Shared: Casual · Arcade · Puzzle

Zup! 2
Shared: Casual · Puzzle · 2D

Hello Kitty Island Adventure
Shared: Adventure · Casual · Exploration

Zup!
Shared: Casual · Puzzle · 2D