Games like Puzzle Parasite
Games like Puzzle Parasite include Portal, Portal 2, Viewfinder, Supraland, and PEAK. We matched them by the tags players give Puzzle Parasite on Steam (Puzzle Platformer, 3D Platformer, First-Person, Puzzle, and Physics): closest matches first, and among equally close ones the better-known games.

Portal
Shared: Puzzle Platformer · Puzzle · First-Person

Portal 2
Shared: First-Person · Puzzle · Singleplayer

Viewfinder
Shared: Puzzle Platformer · First-Person · Puzzle

Supraland
Shared: Puzzle Platformer · First-Person · Adventure

PEAK
Shared: Physics · First-Person · Adventure

The Talos Principle
Shared: Puzzle · First-Person · Sci-fi

The Talos Principle 2
Shared: Puzzle · First-Person · Puzzle Platformer

Human Fall Flat
Shared: Puzzle · Puzzle Platformer · Physics

It Takes Two
Shared: Puzzle · Puzzle Platformer · Adventure

Superliminal
Shared: First-Person · Puzzle · Physics

The Ball
Shared: Puzzle Platformer · 3D Platformer · First-Person

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

Outer Wilds
Shared: Adventure · Puzzle · Mystery

Poppy Playtime
Shared: Puzzle · First-Person · Singleplayer

A Story About My Uncle
Shared: First-Person · Adventure · Singleplayer

Half-Life 2
Shared: Singleplayer · First-Person · Sci-fi

LIMBO
Shared: Puzzle Platformer · Puzzle · Adventure

RV There Yet?
Shared: First-Person · Physics · Adventure

The Swapper
Shared: Puzzle · Puzzle Platformer · Sci-fi

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

Lethal Company
Shared: First-Person · Online Co-Op · Sci-fi

The Room
Shared: Puzzle · Singleplayer · Mystery

The Last Campfire
Shared: Puzzle · Singleplayer · Adventure

The Witness
Shared: Puzzle · First-Person · Singleplayer