Games like Lone Lamp
Games like Lone Lamp include Undertale, There Is No Game: Wrong Dimension, OneShot, Shadows Over Loathing, and Ten Trials of Babel: The Doppelganger Maze. We matched them by the tags players give Lone Lamp on Steam (RPG, Choose Your Own Adventure, Puzzle, Point & Click, and Adventure): closest matches first, and among equally close ones the better-known games.

Undertale
Shared: RPG · Choices Matter · Multiple Endings

There Is No Game: Wrong Dimension
Shared: Puzzle · Point & Click · Adventure

OneShot
Shared: Puzzle · Pixel Graphics · Indie

Shadows Over Loathing
Shared: RPG · Adventure · Puzzle

Ten Trials of Babel: The Doppelganger Maze
Shared: RPG · Choose Your Own Adventure · Multiple Endings

The Henry Stickmin Collection
Shared: Choose Your Own Adventure · Multiple Endings · Point & Click

Papers, Please
Shared: Point & Click · Puzzle · Indie

Storyteller
Shared: Puzzle · Point & Click · Adventure

The Council
Shared: RPG · Adventure · Choices Matter

THE LONGING
Shared: Point & Click · Choose Your Own Adventure · 2D

The Rewinder
Shared: Adventure · Puzzle · 2D

Sanfu
Shared: RPG · Puzzle · Adventure

WILL: A Wonderful World / WILL:美好世界
Shared: RPG · Puzzle · Adventure

Hero's Adventure: Road to Passion
Shared: RPG · Multiple Endings · Adventure

The Test
Shared: Choose Your Own Adventure · Multiple Endings · Pixel Graphics

Roadwarden
Shared: RPG · Adventure · Choose Your Own Adventure

Ib
Shared: RPG · 2D · Pixel Graphics

The Wolf Among Us
Shared: Adventure · Choose Your Own Adventure · Choices Matter

The Room
Shared: Puzzle · Point & Click · Adventure

The Room Three
Shared: Puzzle · Point & Click · Adventure

DAVE THE DIVER
Shared: Adventure · Relaxing · RPG

CrossCode
Shared: RPG · Puzzle · Pixel Graphics

Word Game
Shared: Puzzle · Choose Your Own Adventure · RPG

Please, Don’t Touch Anything
Shared: Puzzle · Point & Click · Pixel Graphics

