Games like Next Room
Games like Next Room include Portal, Portal 2, Viewfinder, Return of the Obra Dinn, and Murders on the Yangtze River. We matched them by the tags players give Next Room on Steam (Puzzle, 3D, First-Person, Detective, and Singleplayer): closest matches first, and among equally close ones the better-known games.

Portal
Shared: Puzzle · First-Person · Puzzle Platformer

Portal 2
Shared: Puzzle · Singleplayer · First-Person

Viewfinder
Shared: Puzzle · First-Person · Puzzle Platformer

Return of the Obra Dinn
Shared: Puzzle · Detective · Singleplayer

Murders on the Yangtze River
Shared: Puzzle · Detective · Puzzle Platformer

Escape Simulator 2
Shared: Puzzle · First-Person · 3D

Blue Prince
Shared: Puzzle · Singleplayer · First-Person

Librarian: Tidy Up the Arcane Library!
Shared: Puzzle · Singleplayer · Relaxing

The Last Campfire
Shared: Puzzle · Singleplayer · Indie

Sizeable
Shared: Puzzle · 3D · Singleplayer

The Room
Shared: Puzzle · Singleplayer · First-Person

Supraland
Shared: Puzzle Platformer · First-Person · Puzzle

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

Moncage
Shared: Puzzle · Singleplayer · Indie

Poppy Playtime
Shared: Puzzle · Singleplayer · First-Person

The House of Da Vinci
Shared: Puzzle · Hidden Object · Singleplayer

Refunct
Shared: First-Person · 3D Platformer · Puzzle Platformer

Metel - Horror Escape
Shared: Puzzle · First-Person · 3D

Garten of Banban
Shared: First-Person · Singleplayer · Puzzle

Monument Valley
Shared: Puzzle · Singleplayer · 3D

The Witness
Shared: Puzzle · First-Person · Singleplayer

Buckshot Roulette
Shared: First-Person · Singleplayer · 3D

The Room 4: Old Sins
Shared: Puzzle · Singleplayer · First-Person

Creature Kitchen
Shared: Puzzle · First-Person · 3D