Yume no Hoshi no Button Nose

The series focused on Button Nose, a little girl who had been left in charge of her home while her parents were away. One night, a robot came to her house to pick up some strawberries. When Button Nose saw his spaceship, she accidentally started it and landed on his home planet. Coincidentally, the king of the planet happened to be a relative of hers and invited her to stay on the planet.