Games like Pets
Games like Pets include Bongo Cat, Stardew Valley, Banana, Animal Shelter, and Nodebuster. We matched them by the tags players give Pets on Steam (Simulation, Cats, Dogs, Hand-drawn, and Incremental): closest matches first, and among equally close ones the better-known games.

Bongo Cat
Shared: Cats · Incremental · Idler

Stardew Valley
Shared: Farming Sim · Simulation · Life Sim

Banana
Shared: Incremental · Simulation · Idler

Animal Shelter
Shared: Cats · Dogs · Simulation

Nodebuster
Shared: Simulation · Incremental · Idler

Digseum
Shared: Simulation · Incremental · Idler

Russian Life Simulator
Shared: Simulation · Incremental · 2D

Cookie Clicker
Shared: Incremental · Idler · Indie

Echoes of the Plum Grove
Shared: Simulation · Farming Sim · Life Sim

WorldBox - God Simulator
Shared: Simulation · God Game · Life Sim

My Time at Portia
Shared: Simulation · Life Sim · Farming Sim

Animal Shelter 2
Shared: Simulation · Cats · Dogs

Fields of Mistria
Shared: Farming Sim · Simulation · Life Sim

Tiny Pasture
Shared: Incremental · Farming Sim · Idler

Shelldiver
Shared: Incremental · Simulation · Idler

Wobbledogs
Shared: Dogs · Simulation · Life Sim

Screen Cat
Shared: Cats · Simulation · Life Sim

DORAEMON STORY OF SEASONS
Shared: Simulation · Farming Sim · Life Sim

A Game About Feeding A Black Hole
Shared: Incremental · Simulation · Idler

Chef Knight
Shared: Simulation · Incremental · Hand-drawn

Poop Clicker
Shared: Simulation · Farming Sim · Incremental

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

Cattails: Wildwood Story
Shared: Cats · Simulation · Farming Sim

Potion Craft: Alchemist Simulator
Shared: Simulation · Hand-drawn · 2D