This planet Earth is different than ours. It could be a recreation after this Earth was destroyed or it could be the Earth before ours. The answer is unknown because it was never really specified in the anime(how would they anyway) Anyways, The world is confusing. Here is a true map of the Z World given to us by Akira Toriyama. Just follow the sections.
a-1
1. Yunzabito Heights- This is known as the "End of the Earth". It is very cold with high winds and is a baren wasteland. This is where Piccolo(kami and piccolo together)was left
by their parents a logn time ago.
2. Yahoi- This was Goku's last stop on his three-year training trip around the world before he swam to Papaya Island for the 22nd World Martial Arts Tournament!
3. Cell lands in Time Machine- This is the spot in whic Cell arrives in Trunks time machine. From here he lives in the ground dormant until developing into his imperfect form.
4. Buu's House- As the name implies, this is were Buu lives and it is made out of people that he had turned into clay or maybe a hardening candy??!
a-2
1. Goku vs. Majin Vegeta- This is the area that Goku and Majin Vegeta fight at during the Buu saga. Vegeta is victor.
2.Goku's space pod landing- This is the space pod that Goku is sent to Earth in. Goku's mission was to take over Earth, but that never happened. Later on in DBZ, Piccolo destroys the space pod after a projection of te moon coming from the pod turns Gohan into Oozaru form.
3. Cell Games Platform- This is the platform that Cell builds for the Cell Games. This is also the spot that Gohan kills Cell.
4. Frieza's arrival place- This is the spot on Earth in which Frieza and King Cold land. This is also where Trunks kills King Cold, Frieza, and Cold's men.
5. Ginger Town- Cell goes to this town to absorb energy from people, probably killing everyone in the town. Piccolo with kami fused with him chalanges Cell here.
6. Center Capital- This is the capital of the world. The Ruler of the World's Palace is here. He is seen in DragonBall and the Cell Games.
a-3
1. Dr. Gero's Lab- This is were Dr. Gero created the androids. The above ground section is destroyed by Vegeta. Later on Trunks and Krillen find the underground lab and in it cell is still being developed. They destroy the lab and also get te android building plans. Then Bulma makes a deviuce to destroy the adnroids with this info.
2. #17 and #18's first encounter with the Z warriors- The Z warriors are easily defeated by the androids. In the fight, Vegeta's arm is broken by #18 and Trunks even breaks his sword on the androids. After the fight Krillen gives everyone senzu beans. Vegeta flies off in a rage. Piccolo goes to join with Kami. Krillen and Trunks go to move Goku to the Kame House and Tien goes to get Choutzu.
3. North Capital- As the name implies, this is the northern capital of the world.
4. Clothing Store- #18 stops off here to purchase some new clothes.
5. Piccolo meets Radditz- When Radditz first arrives he looks to find Goku and he detects Piccolo's ki. Radditz flies at Piccolo thinking it is Goku.
a-4
1. Jingle Town- Gokuh is flying a plane wen it crases in a snowy town called Jingle Town. A girl named Suno finds Goku and takes him to her house. Goku then saves the house by defeating a couple of Red Ribbon members. Goku then leaves the town.
2. Muscle Tower- Goku enters muscle tower in search of the headmaster of Jingle Town. On the first two floors Goku easily defeats Red Ribbon members. On the third floor Goku defeats Sargent Metallitron. On the fourth floor Goku defeats the ninja Murasaki. On the fifth floor Goku rescues Eighter(goku's nickname for android #8) and Eighter becomes his friend. Then Goku goes up to floor six to fight General White. Goku defeats White and returns the Headmaster back to Jingle Town.
3. Radditz's Landing Spot- As the name would imply, this is the spot where Radditz's space ship lands. After he lands, Radditz encounters a farmer and kills him.
4. General Silver's offices- This is where Goku first fights the Red Ribbon Army. Goku easily defeats the Red Ribbon soldiers and General Silver.
5. East Capital- This is the Eastern Capital of the Earth. This is where Vegeta and Nappa land on Earth. Shortly after, Nappa destroys the city.
b-1
1. Karin Tower- This is where Karin the cat lives. Karin tower is directly under Kami's Lookout. At the base of the tower is the camp of Bora and Upa. Goku and Master Roshi both trained under Karin. Karin is the holder of the Super God Water and the grower of the Senzu Beans.
2. Buu's Fighting Ground- Both Gotenks and Gohan are absorbed in a fight against Buu at this spot.
3. General Tao gets new clothes- After his first fight with Goku, General Tao has to buy new clothes. General Tao gets his clothes mad, but when the store clerk does not know who he is and demands that he pay, General Tao kills him.
4. Red Ribbon Headquarters- This is the main Headquarters for the Red Ribbon Army. The leader of the Red Ribbon Army was Commander Red whose goal was to use the Dragonball's to become tall.
5. Giran's Village- This is the village of Giran and is people. Giran meets Goku while fighting im in the 21st Tenkaichi Budoukai.
b-2
1. Parsley Town- Tis is the spot at which Trunks defeats #18 and #17 in his own time.
2. Western Capital- This is the Western Capital of the World.
3. Vegeta vs. Goku- This is the spot at which Goku and Vegeta do battle during the Saiyan saga. Vegeta is defeated after Goku gets help from Yajirobie, Krillen, and Gohan. Vegeta is allowed to leave the planet alive, however.
4. Piccolo trains Gohan- This is the spot where Goan is trained by Piccolo after the fight with Radditz. First Piccolo makes Gohan survive on his own and only after this does the Martial Arts training begin.
b-3
1. Master Roshi vs. Piccolo Daimo- This is the spot where Piccolo Daimo and Kamesennin do battle. Piccolo is looking to collect all of the Dragonball's. Master Roshi is going to use the Mafuba attack in an effort to get rid of Piccolo, but the attack misses and Master Roshi is killed.
2. Pilaf's Palace- This is the palace of Pilaf. It is filled wit torture devices, and dungeons and traps. The palace is destroyed when Goku goes Oozaru.(war ape)
3. Yamcha's Desert Home- This is the house in which Yamcha and Puar live. The house is in the desert. Yamcha and Puar rob people as they pass the desert of their Capsules.
4. Rabbit Town- This is the village in which Boss Rabbit and his gang live. If Boss Rabbit touches you, you are turned into a carrot. Goku comes along and defeats Boss Rabbit and his gang.
b-4
1. Satan City- This is the city that was named after Mr. Satan. Orange Star High School can be found in this city and this is where Gohan and Videl attend school. Satan City is watched over by the Great Saiyaman 1 and Great Saiyaman 2.
2. Grandpa Gohan's Hut- This is where Gohan and Goku lived. It is a small hut. After Gohan was killed, Goku continued living here. Goku lives here until he meets Bulma and goes off in search of the Dragonballs.
3. Oolong's Village- This is the town that Oolong used his shapeshifting skills to terrorize. Goku stops Oolong's reign of terror and Oolong goes of to travel with Goku and Bulma.
4. Goku's House- Goku's House is away from the city. The whole Son family lives in this house during Dragonball Z.
5. Pirate Dock- In an attempt to get the Dragonballs, Goku, Bulma, and Krillen travel here. The Pirate Dock can be entered through a small hole in the underwater mountain. Inside of the cave there are a ton of traps. The whole time Goku and gang are chased through the cave by the Red Ribbon.
c-1
1. Babadi's Spaceship Location- This is the location of Babadi's spaceship. Dabora is killed at this spot. Vegeta, Goku, and Gohan end up releasing Buu at this location.
2. Namu's Village- This is the village of Namu. We met Namu during the 21st Tenkaichi Budoukai and he hopes to win because his village is under a major drought at the time.
3. Baba's Fighting Grounds- This is the spot where you can fight Baba's 5 minions and if you are able to defeat them then she will tell you anything you want to know. The five minions are Gohan, Dracula man, Akuman, Mirakun, and Invisible Man.
4. Pilaf's Battle Ground- Goku defeats Pilaf at this spot and recovers a Dragonball.
c-2
1. Goku's New Clothes- After fighting with Pilaf Goku stops here to buy new clothes.
2. South Capital- This is the Southern Capital of the Earth.
3. #19 vs. Vegeta- #19 and Goku fight at this location. Vegeta then takes over and destroys No. 19 with a Big Bang Attack.
4. No.19 and No.20 First Exposure- This is the first spot in which No.19 and 20 make their presence known. This is the island where all the Z fighters gathered after their 3 years of training.
5. Yajirobie vs. Shinbaru and Tanbarin- This is the spot at which Goku first meets Yajirobie. At this same spot, Goku and Yajirobie team up to kill Shinbaru and Tanbarin. This is also the same location where Goku first meets Piccolo Daimo.
c-3
1. Fire Mountain- A mountain that is surrounded by flames. At the top of the mountain is the house of Ox-King and Chi Chi. In the house is a Dragonball. With a Kame Hame Ha, Master Roshi is able to put out the flames, but in the process he destroys the house.
2. Papaiya Island- On Papaiya Island is located the Tenkaichi Budoukai Battle Stage where the Tenkaichi Budoukai is held every year.
3. Cell Becomes Perfect- This is the spot where Vegeta is fighting Cell and Vegeta is doing good. Vegeta then allows Cell to absorb No.18 and thus Cell becomes perfect.
c-4
1. Kame House- This is te island where the Kame House is. This is the house of
Master Roshi. During Dragonball- Launch, Master Roshi, and Turtle live here. In DBZ Puar and Oolong are often located at the Kame House.
2. Blue Shogun's Camp- This is where the camp of the Blue Shogun is located.
3. #17 Battleground- On this island one of the best DBZ battles ever takes place. Piccolo and No.17 do battle here and in the end tey stop fighting each other in order to fight Cell. Cell absorbes No.17, though, making him 50% perfect.
4. The Training Island- This is the island where Goku and Krillen are taken by Master Roshi in order to train. The training here lasts almost a year and the island is very unique in the fact that it has many different weather conditions located on various locations of the island.
5. Penguin Village- Penguin Village is focused on during Gokuh's fight with Blue Shogun. In Penguin Village is the hometown of Arale and Senbe of Dr. Slump. Arale defeats Blue Shogun here and Goku has a new Dragon Radar built by Turbo
That's all. DBZ Vortex contributed this map and information. I rerote, added and translated everything though and uploaded the pics.