Games like Pat the Cat
Games like Pat the Cat include Spirit City: Lofi Sessions, Mini Cozy Room: Lo-Fi, Ropuka's Idle Island, Ithya: Magic Studies, and NoSlack Pets: Lo-Fi Paws. We matched them by the tags players give Pat the Cat on Steam (Desktop Companion, Idler, Cats, Cozy, and Casual): closest matches first, and among equally close ones the better-known games.

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

Mini Cozy Room: Lo-Fi
Shared: Idler · Cozy · Character Customization

Ropuka's Idle Island
Shared: Desktop Companion · Idler · Cozy

Ithya: Magic Studies
Shared: Desktop Companion · Idler · Cozy

NoSlack Pets: Lo-Fi Paws
Shared: Desktop Companion · Cats · Idler

Maltese's Fluffy Onsen
Shared: Desktop Companion · Idler · Casual

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

Fischer's Fishing Journey
Shared: Idler · Cats · Casual

Chill with You : Lo-Fi Story
Shared: Casual · Idler · Relaxing

Travellin Cats in Paris
Shared: Cats · Cozy · Casual

Tiny Pasture
Shared: Idler · Cute · Desktop Companion

Calico
Shared: Cats · Casual · Cute

Cast n Chill
Shared: Idler · Cozy · Desktop Companion

TBH: Task Bar Hero
Shared: Idler · Desktop Companion · Casual

Screen Cat
Shared: Cats · Casual · Idler

Cats Organized Neatly
Shared: Cats · Cozy · Cute

gogh: Focus with Your Avatar
Shared: Cute · Character Customization · Cozy

Garden Galaxy
Shared: Idler · Cozy · Cute

A Little to the Left
Shared: Casual · Cute · Relaxing

LEGO® Builder's Journey
Shared: Cute · Casual · Cozy

Keep on Mining!
Shared: Idler · Casual · Relaxing

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

Cat Goes Fishing
Shared: Cats · Cute · Casual

Virtual Cottage 2
Shared: Desktop Companion · Cozy · Idler