Like in the previous series Dragonball, Dragon Ball Z has many naming conventions/jokes. Saiyans are all named after vegetables. Vegeta, both the prince, his king father and the Saiyan home planet (originally named Planet Plant), means Vegetable; Raditz is 'radish', and Kakkorotto is 'carrot'. The villain Freeza (originally Friezer) comes obvious, and his brother Cooler and their father King Cold. All Namekians born from the villain in Dragonball were named after instruments (Piccolo, Drum, etc.) The Briefs family were all named after underwear, Bulma meaning panties, Doctor Briefs himself, Trunks, and Bra. And of course, various characters named after foods. Oolong, as in the tea; Videl, like the onion variety; Ginger, obvious; Spice; Blueberry; Raspberry; Raisin; Almond; Apple; and in Dragonball there was an entire family (of about 12) named after desserts. The name Videl is actually an anagram of "Devil" because her dad is Mr. Satan (at least in the Japanese version).
Originally airing in the United States in 1996, its initial run was heavily edited from the Japanese version, so much that out of the first 67 episodes, the American version was cut down to 53 episodes, 14 episodes worth of content. This was mostly due to the partnership between FUNimation productions (Who owned the rights) and Saban Entertainment (Who was responsible for distribution) When the show gained a following on Cartoon Network, it was renewed and FUNimation had sole control. As a result, the episodes were not as clipped as before, following the Japanese episode number precisely from then on.
Vegeta would technically be the "King" of all Saiyans instead of the "Prince" because his father was killed by Frieza, thus making him the rightful heir to the throne. However, he most likely does not call himself King out of respect for his fallen father.
A running gag throughout the series starting in DBZ. Goku has faced off with many super powered adversaries throughout the series but there is only one being in the universe that he fears. His overprotective wife Chi Chi.
In season 1 episode 22 when vegeta and nappa are talking with piccolo. The news crews in helicopters show up, one of the helicopters sports the NCC 1701-A title and looks like a shuttle from the Enterprise.
Earth was destroyed twice within a 15 year period during events of the series. Majin Buu destroyed it during Dragon Ball Z, and use of the Black Star Dragon Balls destroyed it again during Dragon Ball GT.
Some fans believe that Canada's Ocean Group were responsible for the censorship and inaccurate scripts found in the first two English dub seasons. This is incorrect, as the Ocean Group merely served as a dubbing studio for those 53 episodes. FUNimation Entertainment (the North American rights holders) have always been in charge of the English dub's production. It' s worth noting though that the alternate Euro-Canadian dub of Seasons 4-7 was indeed handled by Ocean to some extent, as it was produced by their sister company Westwood Media (in association with AB Groupe.)
Vegeta is the only father that always took care of his children, Trunks and Bra. Piccoro took care of Gohan and Goten, Goku sometimes spent time with both of them, meanwhile Goku was taking care of Pan while Gohan was working.
Captain Ginyu has a Body Change technique and uses it several times to possess the bodies of Goku, and, in anime filler, Bulma. However Goku and Gohan, in anime filler, have caught onto Ginyu's technique and have both thrown a Namekian Frog in the path of his technique resulting Ginyu possessing the body of a Frog.
In late 2014 in Mexico, where the series is heavily loved by fans, some of them began a petition in Facebook to Canal 5 (Channel 5), asking to re-air the series, it didn't take too long because just a few weeks after the petition became viral, Canal 5 began airing the series again. As 2016, the channel has been airing the series uninterrupted.
When the movie Dragon Ball Z: Battle of Gods was released, Akira Toriyama explained that some of the most important events in the series happened thanks to Beerus the God of Destruction. Example: Planet Vegeta was destroyed by orders of Beerus or Elder Kaioshin was imprisoned in the Z Sword by Beerus after a disagreement with him.