The story involves various ninja clans who continually fight each other. The female protagonist is Miko Mido, a young ninja-in-training and the next leader of the Miroku ninja clan. This clan has control over the Shikima, a perverted race of demons. However, when thieves steal the magic compact giving the clan this power, Miko has to fight the Shikima, utilizing her "sexcraft" ninjitsu in order to save the world. 
The Shikima live in a parallel dimension called the Shikima world, and one must perform specific sexual rituals in order to travel there. The Shikima are all sex-hungry monsters, led by the Shikima Lord, who also happens to be Miko Mido's father. 
(by: Wikipedia)

Mido is just a young, normal girl till she finds out that she comes from a blood line of sex ninjas. Now she and her little ninja buddy must stop 2 demons from opening the realm of the humans to the realm of the demons.
 
(Source: Anime News Network)

A race of butterfly-demons named the Mahoroba want to enslave Miko Mido and her sister to steal them the seal case that control the Shikima. Their ultimate goal is to conquer the Shikima Brain, a legendary place of the Shikima realm which is said to confer the power to rule the universe.
 
(Source: Anime News Network)

Miko Mido has fallen in love for the first time. Too bad for her that she hasn't the time to pursue the man of her dreams. There is a mysterious female ghost which is attacking Miko's schoolmates and stealing their life-force, and someone has to investigate the case. However, it seems that the ominous phantom is willing to pursue Miko's love interest, too...
 
(Source: Anime News Network)

The continuation of La Blue Girl. 

Shin Injuu Gakuen adapts the end of the manga, and as such is a follow-up and the conclusion to Miko's adventures in the first series. This time the enemies are Fubuki Kai, a rogue ninja who wants to defeat Miko and claim the title of best ninja, and the cybernetized survivors of the Suzuka clan. 

Note: The English release calls this Episodes 5-6 of the La Blue Girl series. The second episode originally released on VHS in 2 parts. Subsequent LaserDisc/DVD and English releases combine this into an hour-long episode.

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