Games like Animal Style
Games like Animal Style include Garry's Mod, Totally Accurate Battle Simulator, Goat Simulator, Cooking Simulator, and Little Kitty, Big City. We matched them by the tags players give Animal Style on Steam (Simulation, Cooking, Cats, Shop Keeper, and Physics): closest matches first, and among equally close ones the better-known games.

Garry's Mod
Shared: Sandbox · Physics · Simulation

Totally Accurate Battle Simulator
Shared: Simulation · Sandbox · Physics

Goat Simulator
Shared: Simulation · Physics · Sandbox

Cooking Simulator
Shared: Simulation · Cooking · Sandbox

Little Kitty, Big City
Shared: Cats · Cute · Simulation

Poly Bridge
Shared: Simulation · Physics · Puzzle

Slime Rancher
Shared: Cute · Simulation · Sandbox

Wobbledogs
Shared: Simulation · Sandbox · Cute

Kebab Chefs! - Restaurant Simulator
Shared: Cooking · Simulation · Physics

People Playground
Shared: Sandbox · Physics · Simulation

Besiege
Shared: Simulation · Physics · Sandbox

Creature Kitchen
Shared: Cooking · Puzzle · Cute

PowerWash Simulator
Shared: Simulation · Sandbox · 3D

Human Fall Flat
Shared: Physics · Puzzle · Sandbox

Hozy
Shared: Simulation · Sandbox · Physics

BeamNG.drive
Shared: Simulation · Physics · Sandbox

Fun with Ragdolls: The Game
Shared: Simulation · Physics · Sandbox

Placid Plastic Duck Simulator
Shared: Physics · Simulation · Cute

Kerbal Space Program
Shared: Simulation · Physics · Sandbox

Goat Simulator 3
Shared: Simulation · Physics · Sandbox

Catlateral Damage
Shared: Cats · Physics · Simulation

Animal Revolt Battle Simulator
Shared: Simulation · Sandbox · Physics

Surgeon Simulator
Shared: Simulation · Physics · Funny

Donut County
Shared: Physics · Puzzle · Cute