Snubbull first appeared in Snubbull Snobbery where she was holding on to a Growlithe's tail.
It was revealed that Snubbull was in the possession of a rich woman named Madame Muchmoney, engaged to another Snubbull named Winthrop. She was not happy with her life of luxury, and preferred playing to pampering and Brock's rice balls to gourmet food. Ash and his friends helped Madame Muchmoney to realize this, and so she started making changes just for the sake of Snubbull's happiness.
However, Snubbull still felt something missing from her life, specifically Meowth's tail which she loved to bite down on. Thus, Snubbull ran away from home to follow Team Rocket. Snubbull reappeared in Grin to Win! where she revealed Meowth when he was in disguise as a Sunflora. Snubbull made some appearances in Tricks of the Trade where she was walking around Palmpona.
Madame Muchmoney and Granbull
Snubbull made a major appearance in Tunnel Vision where she took Jigglypuff's microphone and it was up to Ash and his friends to get it back. Her final appearance was in The Trouble With Snubbull, where she evolved into Granbull and returned to her owner, who had been searching for her since she first left. Since then, Granbull stopped following around Team Rocket.
She, still a Snubbull had also appeared in "OK!" and "Pokémon Johto" the first opening themes for the Japanese and English dubs of the Johto saga respectively.