Animal Steam Badges/Backgrounds/Emoticons (HELP)

This may be helpful. Try typing the name of an animal in the Filter box. If you click on the Hub button in the top left hand corner you can also view Backgrounds.

Without knowing which specific one you want, here is a link with a bunch of known ones.

http://steamtradingcards.wikia.com/wiki/Emoticons:Animals

(there are tabs at the top to pick between the different animals such as cat/dog etc)

There's a NekoPara cat paw emoticon.

Hope I'm not too late for this, but If you look my profile (too lazy to type the names of the games)
I managed to find alot of "dog" related steam badge's.

The game Duck Game all badges have a duck wouldn't call em too good tho, Dog Simulator, Goat Simulator anything with animal name then simulator is a safe bet. the pug games .If I think of any more I'll come back and use the links people have placed find tonnes of stuff. =p