In The Battle of the Badge, Ash was startled by Togepi and accidentally sent it flying away, where it eventually ended up in the hands of Team Rocket. They duly presented it to Giovanni who was unimpressed as Togepi couldn't actually do anything remarkable at the time. Togepi managed to slip away and soon reunited with Misty.
As a Togepi crying
Although Togepi appeared harmless, it sometimes used Metronome to get out of dangerous situations. The first time it happened was in Pikachu Re-Volts. Butch and Cassidy's Drowzee was using Metronome to attack Ash and his friends. Misty's Togepi began using it, causing an explosion that sent Butch and Cassidy flying. It happened again in In the Pink. A Rhyhorn was about to charge the group when Togepi used Metronome to use Teleport. It also used the move later in the episode to stop a Hyper Beam attack from a Nidoking by using Barrier.
Despite the fact that Misty knew Togepi could battle, she only used it one time to battle Ash. In The Totodile Duel, Ash was using his Pikachu to battle Misty for ownership of a Totodile. Misty used Togepi, because she knew Pikachu would never attack it, as Pikachu would often babysit it. Using Charm, Togepi ended up defeating Pikachu.
In Houndoom's Special Delivery, Togepi was separated from Misty and the rest of the group after using Metronome to teleport itself away from James's Weezing. A Houndoom rescued it from a tree and the two became good friends, sharing a sad goodbye when it was time for Togepi to leave.
As Ash, Brock, May, and Max met Misty near the gate to the Mirage Kingdom in The Princess and the Togepi, it was kidnapped again by Jessie, James, and Meowth, who were temporarily working for Colonel Hansen, a crooked Mirage Kingdom official. Colonel Hansen wanted to get his hands on Misty's Togepi so he could rule the Mirage Kingdom. Since Colonel Hansen had an impure heart, his taking over the Mirage Kingdom would destroy the Togepi Paradise.
Togepi later evolved into a Togetic in A Togepi Mirage! in order to protect the other Togepi. When Togetic was injured by Colonel Hansen, Misty promptly sent out her Gyarados and defeated Hansen's Shedinja with a Flamethrower attack. After seeing the damage Hansen had done trying to reach the Mirage Kingdom, Misty respected her Togetic's decision to stay behind and released it, so it could protect the Kingdom, the Togepi Paradise, and the Togepi who lived there.
As a Togepi, it was sometimes mischievous. Despite being a baby, it would often wander away from the group and get itself and Pikachu into dangerous situations, usually resulting in Pikachu getting hurt but Togepi walking away unharmed. It was also very friendly towards other Pokémon, particularly ones that were small, young, and wild. The most notable were a Voltorb in The Underground Round Up, a Sentret in Tanks a Lot!, and, much to Misty's dislike, a Caterpie in The Bug Stops Here.