Games like The Dagby Files
Games like The Dagby Files include Phoenix Wright: Ace Attorney Trilogy, Sherlock Holmes: The Devil's Daughter, Unheard - Voices of Crime, Return of the Obra Dinn, and Gorogoa. We matched them by the tags players give The Dagby Files on Steam (Casual, Puzzle, Detective, Hand-drawn, and Mystery): closest matches first, and among equally close ones the better-known games.

Phoenix Wright: Ace Attorney Trilogy
Shared: Detective · Mystery · Story Rich

Sherlock Holmes: The Devil's Daughter
Shared: Detective · Puzzle · Mystery

Unheard - Voices of Crime
Shared: Detective · Mystery · Puzzle

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

Gorogoa
Shared: Puzzle · Hand-drawn · Casual

L.A. Noire
Shared: Detective · Crime · Mystery

Sherlock Holmes: Crimes and Punishments
Shared: Detective · Mystery · Puzzle

Cyber Manhunt
Shared: Puzzle · Detective · Mystery

The Roottrees are Dead
Shared: Puzzle · Detective · Mystery

The Murder of Sonic the Hedgehog
Shared: Casual · Mystery · Detective

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

Danganronpa 2: Goodbye Despair
Shared: Detective · Mystery · Story Rich

Cube Escape Collection
Shared: Puzzle · Mystery · Detective

Puzzle Agent
Shared: Puzzle · Casual · Detective

Murdered: Soul Suspect
Shared: Detective · Mystery · Crime

The Incident at Galley House
Shared: Puzzle · Detective · Mystery

Sanfu
Shared: Puzzle · Mystery · Hand-drawn

The Death Game Report
Shared: Puzzle · Casual · Mystery

The Case of the Golden Idol
Shared: Detective · Puzzle · Mystery

Danganronpa: Trigger Happy Havoc
Shared: Detective · Mystery · Story Rich

Tangle Tower
Shared: Detective · Puzzle · Mystery

Duck Detective: The Secret Salami
Shared: Casual · Detective · Mystery

Turlock Holmes
Shared: Puzzle · Detective · Mystery

The Room
Shared: Puzzle · Mystery · Singleplayer