Based on The King Piccolo Saga, "Dragonball" is also known as the Piccolo Daimaoh Saga. It is the penultimate saga from the anime Dragon Ball. It occurs after the Tien Shinhan Saga and precedes the Piccolo Junior Saga. It includes the battles between Goku and King Piccolo's sons, Goku's first encounter with the Samurai warrior, Yajirobe, Goku's quest to find the Holy Water, his final battle with young King Piccolo, and the birth of Piccolo Junior.
I really don't know if "Dragonball" is as popular now as it was a few years ago when my son was hooked on it. It seemed like a big deal at the time. But, no matter, 20th Century Fox has decided to make a live action movie about the anime series and as far as these kinds of films go it looks pretty good. Watch the teaser trailer and judge for yourself.