Games like Timothy 3
Games like Timothy 3 include Portal, Portal 2, Mirror's Edge™, The Witness, and Five Nights at Freddy's: Security Breach. We matched them by the tags players give Timothy 3 on Steam (Singleplayer, Comedy, Logic, Action, and Exploration): closest matches first, and among equally close ones the better-known games.

Portal
Shared: Singleplayer · Puzzle · Comedy

Portal 2
Shared: Singleplayer · Puzzle · First-Person

Mirror's Edge™
Shared: Singleplayer · Exploration · First-Person

The Witness
Shared: Singleplayer · Exploration · Puzzle

Five Nights at Freddy's: Security Breach
Shared: Singleplayer · First-Person · Exploration

Chants of Sennaar
Shared: Singleplayer · Puzzle · Colorful

Slime Rancher
Shared: Singleplayer · Exploration · First-Person

Bugsnax
Shared: Singleplayer · Comedy · First-Person

Sonic Frontiers
Shared: Singleplayer · Action · Exploration

The Talos Principle
Shared: Puzzle · Singleplayer · First-Person

Yellow Taxi Goes Vroom
Shared: Singleplayer · Exploration · Colorful

PEAK
Shared: Comedy · Exploration · First-Person

Antichamber
Shared: Singleplayer · Puzzle · First-Person

Indiana Jones and the Great Circle
Shared: Singleplayer · First-Person · Puzzle

Blue Prince
Shared: Singleplayer · Puzzle · Exploration

Psychonauts
Shared: Comedy · Singleplayer · Action

The Stanley Parable
Shared: Comedy · First-Person · Indie

Ori and the Will of the Wisps
Shared: Singleplayer · Action · Exploration

Pumpkin Jack
Shared: Action · Singleplayer · Colorful

Outcore: Desktop Adventure
Shared: Comedy · Exploration · Singleplayer

Gunpoint
Shared: Singleplayer · Puzzle · Comedy

Supraland
Shared: Exploration · Singleplayer · First-Person

Superliminal
Shared: Singleplayer · Puzzle · First-Person

Fallout 4
Shared: Singleplayer · Exploration · Action