Floopi

Meet Floopi — a little pixel cat that lives right on the pages you browse.
While you read, work, or scroll, Floopi pads along the bottom of your screen, chases your cursor, naps when it's tired, and gets grumpy if you poke it awake. It's not in a new tab or a corner widget — it lives on the page with you, and it knows the page is there: it'll hop up onto your search bar, perch on a divider, and paw curiously at buttons (without ever touching them).
Take care of it:

Feed it when it's hungry — drag a snack over or give it a click
Play with it using the cursor, a laser pointer, a ball of yarn, or a feather wand
Keep it happy and well-fed… and it just might hatch an egg. Feed it a lot, and things get gloriously out of hand.

Make it yours:

Dress it up with hats, sunglasses, pajamas, and a morning coffee
Name it whatever you like
Give it a personality — Floopi reacts, chases butterflies, coughs up the occasional hairball, and even chatters at you with little speech bubbles

Your page stays yours.
Floopi only draws itself on top of your pages. It never reads the text, forms, or content of anything you visit, and it never sends anything anywhere. No account. No server. No tracking. No analytics. Everything lives locally on your device.
Want a quiet moment? Turn on Calm mode, or switch Floopi off entirely on any specific site (handy for banking or work tools) with one click.
Floopi is free. Just a cute companion for your browser — nothing more, nothing less.