Games like The Wild at Heart
Games like The Wild at Heart include Lost in Play, Sanfu, Old Man's Journey, Machinarium, and Gorogoa. We matched them by the tags players give The Wild at Heart on Steam (Story Rich, Puzzle, 2D, Hand-drawn, and Action-Adventure): closest matches first, and among equally close ones the better-known games.

Lost in Play
Shared: Puzzle · 2D · Story Rich

Sanfu
Shared: Puzzle · 2D · Colorful

Old Man's Journey
Shared: Story Rich · Hand-drawn · Puzzle

Machinarium
Shared: Puzzle · Hand-drawn · 2D

Gorogoa
Shared: Puzzle · Hand-drawn · 2D

Carto
Shared: Puzzle · Hand-drawn · Story Rich

GRIS
Shared: Hand-drawn · Atmospheric · Story Rich

OMORI
Shared: Story Rich · Hand-drawn · 2D

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

Chants of Sennaar
Shared: Puzzle · Colorful · Stylized

Sally Face - Episode One
Shared: Story Rich · Puzzle · Hand-drawn

The Last Campfire
Shared: Puzzle · Story Rich · Adventure

The Tiny Bang Story
Shared: Puzzle · Hand-drawn · Story Rich

OneShot
Shared: Story Rich · Puzzle · 2D

Creaks
Shared: Puzzle · Hand-drawn · 2D

Return to Monkey Island
Shared: Puzzle · Story Rich · 2D

Night in the Woods
Shared: Story Rich · Stylized · 2D

Ori and the Will of the Wisps
Shared: Story Rich · Puzzle · Action-Adventure

Rakuen
Shared: Story Rich · Puzzle · Emotional

Valiant Hearts: The Great War™ / Soldats Inconnus : Mémoires de la Grande Guerre™
Shared: Story Rich · 2D · Puzzle

Servant of the Lake
Shared: Puzzle · Story Rich · 2D

The Dark Eye: Memoria
Shared: Puzzle · Story Rich · 2D

Papetura
Shared: Puzzle · 2D · Stylized

Snufkin: Melody of Moominvalley
Shared: Puzzle · Colorful · 2D