These are the planets that are featured in db/z/gt.
Earth-This oour home. Also the home of the z warriors. This planet has many different encounters with a number of villians over time.
Namek-This planet is home to Piccolo. Freezer comes to Namek to collect the dragonballs and wish for immortality but is unsuccessful and Nameks end up exploding.
New Namek-The z warriors and their friends wish back a new planet for the namekians and is named new namek.
Arlia-This planet doesn't have a real big part in dbz. It's i planet that Vegeta and Nappa stop by on. They just destroy it easily and quickly.
Old Planet Vegeta-This planet was destroyed by Freeza. Vegeta was also the prince of this planet.
New Planet Vegeta-This planet was created by Paragus(Broli's father)and is destroyed by a moon.
Yardrat-This is the planet Goku goes to when Namek is destroyed. The aliens living there teach him a nifty technique.
Konats-This is the home of Tapion. He appears in one of the dbz movies.