Dragon Ball
The show ends with Goku finally getting to make his wish, (after the first attempt was foiled by Oolong, who accidentally wished for some panties) and by the end of the show, Goku is a young man, and is the most powerful fighter in the world.
Dragonball Z
At this point, the name of the show was changed to Dragonball Z. This show is set five years after Dragon Ball, and Goku is now around 21.
He is now married, and has a young son named Gohan, after his adoptive grandfather. Everything is peaceful, until one day,
Goku's past catches up with him. A space pod lands on Earth, containing a strange man with a simian tail exactly like Goku's.
It turns out that this man is called Raditz, and is Goku's older brother. It turns out that Goku is part of an alien race called the Saiyans,
and was sent to Earth to destroy it (but as we know, he forgot his mission when he bumped his head). It transpires that Goku's Sayan name is
Kakkarot, and he was sent to Earth by their father, Bardock. However, their home planet, Vegita, has in the meanwhile been destroyed,
and the entire race with it, bar 4 survivors: Crown Prince Vegita, Nappa (an elite warror), Raditz (a common soldier), and Goku.
When Raditz sees that Earth is still intact, and Goku is a peace loving citzen of this planet, he becomes enraged, and kidnaps the young Gohan.
He threatens to kill Gohan if Goku doesn't kill 100 people by the next day, and dump their bodies on the beach. Goku then, suprisingly, joins
forces with his old enemy Piccolo (who is the son of Piccolo Diamou), to kill Raditz (Piccolo only agrees because HE wants to be the one who kills Goku).
Raditz is too strong however, and manages to stave off both of them. It is only when Goku gets Raditz in an arm lock, and allows both of them to be killed,
that Piccolo manages to have time to use an attack powerful enough to kill Raditz.
However, before Raditz died, he managed to summon the other two Sayan survivors, to come and avenge him, and they will arive on Earth in one years time.
Piccolo decides to train Gohan to be a fighter, as Goku is dead, and cannot do it himself. Gohan becomes Piccolo's very first friend, and Gohan's innocence
and kindness finally melts the evil Piccolo's heart, and he becomes one of the good guys. Goku meanwhile, is in heaven; and is receiving training from a God
called King Kai. He intends to become powerful enough to defeat the Saiyans, when they arrive. The plan is to wish Goku back to life with the Dragon Balls,
just prior to the Saiyan warriors arrival.
This is the beginning of a long and excellent show, of which I have seen only around half. There is one more show afterwards, called Dragonball GT.
NB: Dragonball Z is a Japanese show. Since the show had to be transliterated into Roman script, there were some problems. Mainly, the spelling of the names
can vary due to personal interpretation. Therefore you may see names spelled in many different ways (even on this page, if I haven't been vigialant). So don't
think "Oooohhh, he's wrong!", OK?! :-)