"Dragonball", Toriyama's second manga turned TV series, was
an extremely successful show which spawned 4 movies and two
additional TV series. It is based on an ancient Chinese folk tale
about a monkey boy (Goku), a three-eyed god (Tenshinhan), and
a desert bandit (Yamcha). Even though all three series have long
since ended, Dragonball still has a large legion of fans all across
the globe. With it's fairly recent release on American TV,
Dragonball has become one of the most popular animated series
of all time.

Dragonball
The first anime based on Toriyama's manga, it lasts until the battle
with Piccolo Daimao ends. It focuses more on humor than action, quite
unlike the following two anime.

Dragonball Z
When the first series ended it's run on TV, the manga was still being
produced by Toriyama. Wanting to tap into the comic's success, a new
series was created known as "Dragonball Z," which continued the story
of Son Goku and his adventures.

Dragonball GT
"Dragonball GT" was produced mainly for one thing: money. When
Toriyama finally ended his massive manga, the TV executives decided
to go on without him. Dragonball GT proved to be a moderately successful
series, but by this time Dragonball had become stale in Japan, and it ended
relatively early.

 I get some of my Saga Information from Planet Namek.