Bulma encounters several frogs during the fight with Frieza, and immediately dislikes them all except for one, which of course is Captain Ginyu. Once she puts a translator on him, Ginyu takes advantage of the opportunity and switches bodies with Bulma, leaving her trapped in the body of the frog. They both arrive at the scene where Goku is fighting Frieza, but when Ginyu is found out and tries to switch with Piccolo, Gohan throws Bulma the frog in the way, and Ginyu is a frog once again. She later gets her revenge on Ginyu when she forces Ginyu to scout ahead to detect Goku and Gohan shortly after Goku hits Frieza with the Spirit Bomb. At the conclusion of the Frieza Saga, he is brought to Earth by a wish with the Dragon Balls, and becomes the leader of the fish pond at Capsule Corporation, while the frog in Ginyu's body remains in the forest.
Ginyu is seen again during the Cell Games Saga in front of Goku's house with tears in his eyes, during the time Gohan blows out his candles (and the entire cake). He is also picked up by Gohan during the Great Saiyaman Saga when Sharpner attempts to unmask him (and Gohan picking up Ginyu stops Sharpner from unmasking him, sailing over Gohan's head and landing on the ground).
It is presumed that both died from Super Buu's Human Extinction Attack or when Kid Buu blows up the Earth, however, it also possible that the frog in Ginyu's body and Ginyu in the frog's body could have died at any point prior to this. Presumably, the frog is revived in its original body after Kid Buu's defeat.