Welcome to the Saiyin information and image gallary
Here are all the Saiyin's who appeared in random order threw out Dragon ball z (Well most of them =D )

Bardock- The Father of Raditz, and Goku. We see him in the Bardock special, and in the Freeza saga. He dies along with all the Saiyin race who are destroyed at the hands of Freeza. Little is known about the Saiyin but he and Goku have a silent understanding of each other.

Vegeta- The Prince of all Saiyin's, he is one of the Saiyin's who survived the blast on Vegetasei, He works for Freeza. He arrives in the Saiyin saga, Vegeta starts out as an enemy but turns in a powerful ally. He ends up marring Bulma and having two children, Trunks and Bra. He is a powerful friend of the Z warriors and has helped save the Universe uncountable times.

Goku/ Kakarot- Kakarot being Goku's Saiyin name, he is the main Character in Dragonball Z. He is also one of the Saiyin's who survived the blast on Vegetasei. He is the powerfulest Saiyin on earth and in The Universe. He has saved the Universe more times than you could poke a stick at. He is married to Chichi and has two Son's Gohan and Goten. He was sent to earth as a baby, he was found by a Old man by the name of Gohan (Who he named his son after) and bumped his head as a child and lost all memory of his Saiyin past. He is constantly in the spot light and is nearly always the one or a big part of destroying evil in the universe.

Gohan- Goku's eldest Son. He is half Saiyin due to the fact that his mother is a human. We see Gohan growing up threw DBZ, He starts of as a five year old with a tail. Gohan has a huge part in saving the world, Including when he destroyed the andriod Cell. Even though Gohan is only part Saiyin, he is still just as strong as Vegeta or Goku. The first Saiyin to turn Super Saiyin 2 he is easliy a huge part in the Z team. He married Videl, The daughter of Mr Satan. The have a child named Pan.

Goten- Goku's youngest Son, He is born just after Cell is destroyed, Goten never meets his father till the start of the Buu saga. Goten and trunks are only young when they first turn into Super Saiyins. Vegeta finds out that Gohan and trunks can turn Super Saiyin. Gohan teaches Goten to fly and once Goten learns to fly there is no stopping him....

Trunks- The son of Vegeta and Bulma, We first see trunks when Freeza comes to earth. Trunks arrives from the future to warn the Z team of the danger of the andriods. he returns to the future leaving the Z team except Goku and Picollo in the dark about who he really is. 3 years later we see trunks in bulma's arms, The rest of the Z team find out that Vegeta and Bulma are the parents of the mysterious Saiyin. Trunks is Goten's best friend and together they are always finding trouble.

King Vegeta- King Vegeta is first spoken of in The freeza saga, he is Vegeta's dad. King Vegeta had a plan to rid of Freeza's control over the Saiyin's, He fly's to freeza's ship and in an attempt to kill freeza he is killed instead by the hands of freeza. He is killed just before Vegetasei is blown up.

Brolly- The first ever Super Saiyin, When Brolly was a child he was sleeping next to Goku, with Goku's continues crying it drives Brolly insane and he developes a pure hate towards Goku....

Turles- comes to earth to try and destory it like Gouk was meant to when he was a baby. Turles plants the tree of might, the tree of might sucks out all the power in the earth and it grows fruit full of the earths power. Turles is Goku's cousin, heance his obvious conection to goku...

Bardocks team- Consists of Celipa, Toma, Totpeo, Borgos. They are an elite Saiyin squad and are starting to cause fear in Freeza, Freeza therefore has them all killed, Bardock is the only who survives this attack but soon dies by the blast on vegetasei.

Napa- One of the many Saiyin's who survive the blast on vegetasei. He is Vegeta's second hand man, and obey's the Prince's every order. He travels with Vegeta to earth in serch of the Dragonball's, he kills most of the Z team.funny enough Vegeta ends up killing Napa because of his weakness. Napa reapears in Dragonball GT be again is killed by his Prince...Vegeta

Raditz- He is the first Saiyin to come to earth, He is Goku's long lost brother. He tells goku of his past than kidnapps Goku son Trying to black mail him. Goku and piccolo team up to beat the Sayin, Picccolo ends up killing Raditz and Goku. Raditz then reveals that more Saiyin's are coming to earth in search of the dragonballs in his dying words

Gogeta- the fusion of Gouk and vegeta when they use the fusion dance. He is powerful and is nether Goku nore Vegeta but a mix of the two making him one of the powerfulest fighters ever to grace DBZ....

Vegetto- Also a fusion of Gouk and vegeta, but instead he is created using the special Kia earings. The fusion lasts forever, instead of half an hour like Gogegta. He is also one of the mightest fighters in DBZ...

Gotanks- the fusion of Trunks and goten, He is the result of the fusion dance and is also a very powerful fighter. He might be strong but is just as immature as he is strong.

Bebi Vegeta- Bebi Vegeta is when Baby took over Vegeta's body, not really a true saiyin, i just think he looks cool. And go's to show that vegeta will let anything happen for power...

Bra- while she isn't very powerful. Bra is the onll person to make Vegeta bowed down to her. Bra is Bulma's and vegeta's daughter.

Pan- Pan is very strong consisdering she is only 1/4 Saiyin. Pan is the daughter of Gohan and videl. She travels into outta space with trunks and Goku in DBGT, She isn't really shown in DBZ but i put her in anyway...