Games like Plumber 3
Games like Plumber 3 include Zup! S, FEZ, Moncage, Gorogoa, and Zup! X. We matched them by the tags players give Plumber 3 on Steam (Casual, Puzzle, Education, Exploration, and Incremental): closest matches first, and among equally close ones the better-known games.

Zup! S
Shared: Casual · Puzzle · 2D

FEZ
Shared: Puzzle · Exploration · Casual

Moncage
Shared: Casual · Puzzle · Indie

Gorogoa
Shared: Puzzle · Casual · Indie

Zup! X
Shared: Casual · Puzzle · 2D

Cat Goes Fishing
Shared: Casual · 2D · Indie

Cookie Clicker
Shared: Casual · Incremental · Indie

Zup!
Shared: Casual · Puzzle · 2D

Scribblenauts Unlimited
Shared: Casual · Puzzle · 2D

Zup! 2
Shared: Casual · Puzzle · 2D

Zup! F
Shared: Casual · Puzzle · 2D

Sizeable
Shared: Casual · Puzzle · Exploration

Zup! Z
Shared: Puzzle · Casual · Indie

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

Human Resource Machine
Shared: Puzzle · Casual · Education

Hexcells
Shared: Casual · Puzzle · Indie

Zup! 3
Shared: Casual · Puzzle · 2D

Monument Valley
Shared: Puzzle · Casual · Exploration

Carto
Shared: Puzzle · Exploration · Indie

Baba Is You
Shared: Puzzle · Indie · Singleplayer

Zup! Zero
Shared: Casual · Puzzle · 2D

RetroMaze
Shared: Casual · Puzzle · Indie

World of Goo
Shared: Puzzle · Casual · Indie

Horripilant
Shared: Casual · Incremental · Puzzle