Games like Plumber 3D
Games like Plumber 3D include Portal, Portal 2, Totally Accurate Battle Simulator, Human Fall Flat, and Poly Bridge. We matched them by the tags players give Plumber 3D on Steam (3D Platformer, Puzzle Platformer, Simulation, Interactive Fiction, and Puzzle): closest matches first, and among equally close ones the better-known games.

Portal
Shared: Puzzle Platformer · 3D Platformer · Puzzle

Portal 2
Shared: Puzzle · Puzzle Platformer · 3D Platformer

Totally Accurate Battle Simulator
Shared: Simulation · Funny · Physics

Human Fall Flat
Shared: Puzzle · Puzzle Platformer · Funny

Poly Bridge
Shared: Simulation · Physics · Puzzle

Biped
Shared: Puzzle · Funny · Puzzle Platformer

Placid Plastic Duck Simulator
Shared: Physics · Relaxing · Simulation

Poly Bridge 3
Shared: Simulation · Puzzle · Physics

Supraland
Shared: Puzzle Platformer · Physics · Puzzle

The Last Campfire
Shared: Puzzle · 3D Platformer · Relaxing

I Am Bread
Shared: Simulation · 3D Platformer · Physics

Viewfinder
Shared: Puzzle Platformer · Puzzle · Physics

PowerWash Simulator
Shared: Simulation · Relaxing · 3D

Hozy
Shared: Puzzle · Relaxing · Simulation

Climber Animals: Together
Shared: Simulation · Puzzle Platformer · Physics

Chained Together
Shared: Puzzle Platformer · 3D Platformer · Simulation

Planet Coaster
Shared: Simulation · Relaxing · Family Friendly

Quantum Conundrum
Shared: Puzzle Platformer · 3D Platformer · Puzzle

Snake Pass
Shared: Puzzle Platformer · Simulation · 3D Platformer

Donut County
Shared: Puzzle · Funny · Physics

Trine 3: The Artifacts of Power
Shared: Puzzle Platformer · 3D Platformer · Puzzle

Refunct
Shared: 3D Platformer · Puzzle Platformer · Relaxing

Wobbledogs
Shared: Simulation · Funny · Physics

Cooking Simulator
Shared: Simulation · Physics · Funny