Games like Leash
Games like Leash include Banana, Papers, Please, The Escapists, Graveyard Keeper, and Stardew Valley. We matched them by the tags players give Leash on Steam (Simulation, Pixel Graphics, Colorful, Walking Simulator, and 2D): closest matches first, and among equally close ones the better-known games.

Banana
Shared: 2D · Simulation · Singleplayer

Papers, Please
Shared: Simulation · Pixel Graphics · Indie

The Escapists
Shared: Pixel Graphics · Simulation · 2D

Graveyard Keeper
Shared: Pixel Graphics · Simulation · Indie

Stardew Valley
Shared: Pixel Graphics · Simulation · Indie

Totally Accurate Battle Simulator
Shared: Simulation · Colorful · Singleplayer

People Playground
Shared: Simulation · 2D · Pixel Graphics

DELTARUNE
Shared: Pixel Graphics · 2D · Singleplayer

Tower Wizard
Shared: Pixel Graphics · 2D · Fantasy

Skul: The Hero Slayer
Shared: Pixel Graphics · Indie · 2D

Vampire Survivors
Shared: Pixel Graphics · 2D · Indie

A Dance of Fire and Ice
Shared: 2D · Colorful · Indie

The Escapists 2
Shared: Pixel Graphics · Simulation · 2D

Hyper Light Drifter
Shared: Pixel Graphics · Indie · 2D

Click the Button
Shared: Simulation · Pixel Graphics · Indie

Unfair Flips
Shared: Simulation · Pixel Graphics · 2D

The Binding of Isaac: Rebirth
Shared: Pixel Graphics · Indie · 2D

OMORI
Shared: Pixel Graphics · Indie · Colorful

Game Dev Tycoon
Shared: Simulation · Indie · 2D

Beat Cop
Shared: Pixel Graphics · Simulation · Indie

WorldBox - God Simulator
Shared: Simulation · Pixel Graphics · Fantasy

Slime Rancher
Shared: Colorful · Simulation · Singleplayer

Touhou Mystia's Izakaya
Shared: Pixel Graphics · Simulation · 2D

To the Moon
Shared: Pixel Graphics · Indie · Singleplayer