Games like The Yawhg
Games like The Yawhg include Undertale, The Life and Suffering of Sir Brante, LoveChoice, Pyre, and Suzerain. We matched them by the tags players give The Yawhg on Steam (Choose Your Own Adventure, Indie, Local Co-Op, Story Rich, and RPG): closest matches first, and among equally close ones the better-known games.

Undertale
Shared: Story Rich · Indie · RPG

The Life and Suffering of Sir Brante
Shared: Story Rich · Choose Your Own Adventure · RPG

LoveChoice
Shared: Story Rich · Visual Novel · Indie

Pyre
Shared: Indie · RPG · Story Rich

Suzerain
Shared: Choose Your Own Adventure · Visual Novel · Story Rich

The Witcher 3: Wild Hunt — Remastered
Shared: Story Rich · RPG · Fantasy

Brothers - A Tale of Two Sons
Shared: Story Rich · Indie · Short

To the Moon
Shared: Indie · Story Rich · RPG

OMORI
Shared: Indie · Story Rich · RPG

The Test
Shared: Choose Your Own Adventure · Story Rich · Multiple Endings

Roadwarden
Shared: Indie · RPG · Choose Your Own Adventure

Far Away
Shared: Choose Your Own Adventure · Story Rich · Visual Novel

A Bird Story
Shared: Indie · Story Rich · Short

OneShot
Shared: Indie · Story Rich · Great Soundtrack

Sovereign Tower
Shared: Choose Your Own Adventure · Indie · Visual Novel

Slay the Princess — The Pristine Cut
Shared: Choose Your Own Adventure · Story Rich · Visual Novel

Yes, Your Grace
Shared: Indie · RPG · Story Rich

The Wolf Among Us
Shared: Story Rich · Choose Your Own Adventure · Visual Novel

DELTARUNE
Shared: Story Rich · RPG · Indie

Transistor
Shared: Indie · Story Rich · RPG

Minds Beneath Us
Shared: Story Rich · Choose Your Own Adventure · Visual Novel

Assemble with Care
Shared: Indie · Short · Story Rich

The Test: Hypothesis Rising
Shared: Choose Your Own Adventure · Story Rich · Visual Novel

Volcano Princess
Shared: RPG · Multiple Endings · Story Rich