Games like MoukeyRun
Games like MoukeyRun include Bongo Cat, Banana, TBH: Task Bar Hero, Maltese's Fluffy Onsen, and Cookie Clicker. We matched them by the tags players give MoukeyRun on Steam (Casual, Idler, Desktop Companion, 2D, and Animals): closest matches first, and among equally close ones the better-known games.

Bongo Cat
Shared: Desktop Companion · Idler · Casual

Banana
Shared: Casual · 2D · Idler

TBH: Task Bar Hero
Shared: Idler · Desktop Companion · Pixel Graphics

Maltese's Fluffy Onsen
Shared: Desktop Companion · Casual · Pixel Graphics

Cookie Clicker
Shared: Idler · Casual · Pixel Graphics

Vampire Survivors
Shared: 2D · Pixel Graphics · Casual

Stardew Valley
Shared: Pixel Graphics · Life Sim · Casual

Melvor Idle
Shared: Idler · Casual · 2D

Desktop Defender
Shared: Idler · Desktop Companion · Casual

Tiny Pasture
Shared: Idler · Casual · Pixel Graphics

DAVE THE DIVER
Shared: Casual · Pixel Graphics · Singleplayer

Cast n Chill
Shared: Idler · Pixel Graphics · Casual

Shelldiver
Shared: Casual · Idler · 2D

Timberman
Shared: Casual · Pixel Graphics · 2D

Fish to Dish: Idle Sushi
Shared: Idler · Desktop Companion · Casual

How to Train Your Cock
Shared: Idler · Casual · Desktop Companion

Cornerpond
Shared: Idler · Desktop Companion · Casual

Screen Cat
Shared: Casual · Idler · 2D

Rusty's Retirement
Shared: Idler · Desktop Companion · 2D

Nodebuster
Shared: Casual · Idler · 2D

Spirit City: Lofi Sessions
Shared: Desktop Companion · Idler · Casual

Birdwatching Notebook
Shared: Idler · Desktop Companion · Casual

Unpacking
Shared: Casual · Pixel Graphics · Singleplayer

Crusaders Quest : Hero Town
Shared: Desktop Companion · Idler · Pixel Graphics