Games like The Red Lantern
Games like The Red Lantern include Road 96, Road 96: Mile 0, My Little Puppy, Mirror 2: Project X, and WILL: A Wonderful World / WILL:美好世界. We matched them by the tags players give The Red Lantern on Steam (Dogs, Exploration, Choose Your Own Adventure, Interactive Fiction, and Female Protagonist): closest matches first, and among equally close ones the better-known games.

Road 96
Shared: First-Person · Choose Your Own Adventure · Colorful

Road 96: Mile 0
Shared: Exploration · Choose Your Own Adventure · Interactive Fiction

My Little Puppy
Shared: Dogs · Emotional · Exploration

Mirror 2: Project X
Shared: Female Protagonist · Interactive Fiction · 3D

WILL: A Wonderful World / WILL:美好世界
Shared: Exploration · Female Protagonist · Emotional

Refind Self: The Personality Test Game
Shared: Interactive Fiction · Female Protagonist · Choose Your Own Adventure

OPUS: Echo of Starsong - Full Bloom Edition
Shared: Emotional · Female Protagonist · Interactive Fiction

Sumire
Shared: Exploration · Choose Your Own Adventure · Interactive Fiction

Slime Rancher
Shared: Exploration · First-Person · Adventure

Before Your Eyes
Shared: Emotional · Interactive Fiction · First-Person

Breakout 13
Shared: Choose Your Own Adventure · Exploration · Interactive Fiction

School Days
Shared: Exploration · Choose Your Own Adventure · Interactive Fiction

DAVE THE DIVER
Shared: Exploration · Relaxing · Casual

SEASON: A letter to the future
Shared: Exploration · Interactive Fiction · Female Protagonist

Monument Valley
Shared: Exploration · Relaxing · Female Protagonist

Sable
Shared: Exploration · Choose Your Own Adventure · Female Protagonist

A Plague Tale: Requiem
Shared: Exploration · Female Protagonist · Interactive Fiction

What Remains of Edith Finch
Shared: Exploration · Female Protagonist · First-Person

Gone Home
Shared: Exploration · Female Protagonist · First-Person

Beacon Pines
Shared: Exploration · Emotional · Interactive Fiction

Carto
Shared: Exploration · Female Protagonist · Relaxing

Slime Rancher 2
Shared: Relaxing · First-Person · Colorful

OPUS: Rocket of Whispers
Shared: Female Protagonist · Emotional · Interactive Fiction

To the Moon
Shared: Emotional · Interactive Fiction · Indie