Princess Peach is the ruler of the Mushroom Kingdom.  She is often captured by Bowser in his attempt to take over as King.

In the film, Mario and Luigi are the owners of a grocery store. One night, Mario was engrossed in his Famicom game. Suddenly, the picture goes out and Princess Peach appears on the TV screen crying for help from the enemies attacking her and jumps out of the TV. Mario falls in love with her and vows to protect her. Soon after, Koopa appears on the TV screen and starts to come out of the TV. He grabs Princess Peach and takes her into the TV. Mario then discovers a small brooch that Peach left on the floor. 
The next day, the brooch that Peach dropped becomes a matter of concern for Mario. Luigi immediately notices the brooch and regards it as the "Visionary Jewel from the Country of Treasure". Soon, Kibidango, a small dog-like being, wanders into the store and notices that Mario has Peach's brooch. He takes it away from Mario, enraging him, thus beginning his (and Luigi's) chase with Kibidango into the Mushroom Kingdom. 
(Source: Wikipedia)

She is known for having a baby-sounding voice.

Amada Anime Series: Super Mario Bros is a trilogy of OVAs based on traditional fairy tales. They were released only in Japan in 1989. 

Includes: 
• Super Mario's Momotarou (based on Momotarou) 
• Super Mario's Issun-boushi (based on Issun-boushi) 
• Super Mario's Shirayuki-hime (based on Snow White)

Miyako Endou is a female seiyu. She works for Aoni Production. She graduated from Aoyama Gakuin University.

Features stories based on the hit Super Mario games! From crazy to classic, Mario and his friends star in adventures that find them traveling through the many worlds of one of the biggest video game series ever!
 
(Source: Viz Media)

Based off of Mario Kart DS. All the characters from the game such as Wario, Luigi, Bowser, Princess Peach appear.
 
(Source: Super Mario Wiki)

Based off of Super Princess Peach. All the characters from the game such as Toadsworth, Perry, Bowser and Princess Peach appear.
 
It also contains all used bosses from the game.
 
(Source: Super Mario Wiki)

1st part of the Super Mario series. 
Manga adaptation of the video game of the same name.

Eight part of the Super Mario series. 
Note: chapter count includes one Mario Paint extra chapter.

Eleventh part of the Super Mario series. 
Note: chapter count includes 2 Mario Paint extra chapter.

Note: Released in Family Computer Hisshou Technique Kanpeki Han Volume 7.

Includes: 
1. Super Mario Brothers (スーパーマリオブラザーズ), Shou Kobayashi 
2. Bomberman (ボンバーマン), Shou Kobayashi 
3. Challenger (チャレンジャ), Susuo Yasuki 
4. Road Runner (ロードランナー ), Shou Kobayashi 
5. Wrecking Crew (レッキングクルー), Susuo Yasuki 
 
Note: Released in Family Computer Hisshou Technique Kanpeki Han 1

An official 4-koma manga by various artists about the videogame, "Super Mario Sunshine", published in 2002.

Super Mario World: Mario to Yoshi no Bouken Land is an interactive anime video based on the game Super Mario World. It is designed for use with Bandai's Terebikko system, which utilizes a telephone-shaped microphone to "interact" with the video. It asks the viewer multiple choice questions, such as what will hatch from Yoshi's egg. 
(Source: Mario Wiki)