Games like Rune Log
Games like Rune Log include No Case Should Remain Unsolved, Chants of Sennaar, Murders on the Yangtze River, There Is No Game: Wrong Dimension, and OneShot. We matched them by the tags players give Rune Log on Steam (Puzzle, Detective, Interactive Fiction, Text-Based, and Adventure): closest matches first, and among equally close ones the better-known games.

No Case Should Remain Unsolved
Shared: Puzzle · Interactive Fiction · Adventure

Chants of Sennaar
Shared: Puzzle · Adventure · Singleplayer

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

There Is No Game: Wrong Dimension
Shared: Puzzle · Adventure · Indie

OneShot
Shared: Puzzle · Story Rich · Adventure

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

To the Moon
Shared: Adventure · Interactive Fiction · Story Rich

The Rewinder
Shared: Puzzle · Adventure · Detective

The Roottrees are Dead
Shared: Puzzle · Detective · Singleplayer

The Case of the Golden Idol
Shared: Detective · Puzzle · Interactive Fiction

Papers, Please
Shared: Puzzle · Singleplayer · Indie

CaseCracker
Shared: Detective · Puzzle · Text-Based

Finding Paradise
Shared: Adventure · 2D · Interactive Fiction

The White Door
Shared: Puzzle · Detective · Adventure

Gorogoa
Shared: Puzzle · Singleplayer · Indie

Storyteller
Shared: Puzzle · Interactive Fiction · Adventure

Impostor Factory
Shared: Adventure · 2D · Story Rich

Roadwarden
Shared: Text-Based · Adventure · Interactive Fiction

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

The Mermaid Mask
Shared: Detective · Puzzle · Adventure

The Last Campfire
Shared: Puzzle · Adventure · Singleplayer

Brothers - A Tale of Two Sons
Shared: Adventure · Puzzle · Story Rich

Phoenix Wright: Ace Attorney Trilogy
Shared: Detective · Puzzle · Singleplayer

Sally Face - Episode One
Shared: Puzzle · Adventure · Story Rich

