Games like Runaway Dog
Games like Runaway Dog include Vampire Survivors, Orbt XL, pureya, A Dance of Fire and Ice, and Razortron 2000. We matched them by the tags players give Runaway Dog on Steam (Casual, Arcade, Runner, 2D Platformer, and 2D): closest matches first, and among equally close ones the better-known games.

Vampire Survivors
Shared: 2D · Casual · Arcade

Orbt XL
Shared: Arcade · 2D · Casual

pureya
Shared: Arcade · Casual · 2D

A Dance of Fire and Ice
Shared: Arcade · 2D · Casual

Razortron 2000
Shared: Casual · Arcade · 2D

Shower With Your Dad Simulator 2015: Do You Still Shower With Your Dad
Shared: Arcade · Casual · 2D

Planes, Bullets and Vodka
Shared: Casual · Arcade · Retro

Zuma Deluxe
Shared: Arcade · Casual · 2D

PAC-MAN™ Championship Edition DX+
Shared: Arcade · Retro · 2D

Ding Dong XL
Shared: Runner · Arcade · 2D

To The Core
Shared: Casual · Arcade · 2D

Shelldiver
Shared: Casual · Arcade · 2D

Montaro
Shared: Casual · Runner · Dogs

Drift86
Shared: Casual · Arcade · Indie

UFO 50
Shared: Arcade · 2D · Retro

RetroMaze
Shared: Casual · 2D · Retro

Timberman
Shared: Casual · Arcade · 2D

Dino Run DX
Shared: Arcade · Runner · 2D

Twin Shot Deluxe
Shared: Casual · Arcade · 2D Platformer

Nodebuster
Shared: Casual · Arcade · 2D

AudioSurf
Shared: Casual · Arcade · Colorful

Cat Goes Fishing
Shared: 2D · Casual · Indie

Super Meat Boy
Shared: 2D Platformer · 2D · Indie