Tenchi Muyou! Ryououki

Synopsis

Princess Ayeka has sailed far from her home planet Jurai in search for her long lost fiance. On Earth, she encounters Ryoko instead, her mortal enemy from distant stars - which can only mean TROUBLE for Tench! As a blast from Ayeka's main cannon shatters his window, Tenchi finds himself aboard Ryoko's spaceship in flight, only to be captured later by Ayeka! Tenchi doesn't know what to do as the cat-fight between the two girls ends up in a BIG spaceship crash and then... Who is Ayeka's fiance and where has he gone? How will Tenchi get home and what do these sparing female super-powers want with him? Perhaps Ayeka's little sister, the mischievous Sasami, can help as Tenchi becomes more and more the master of his mysterious destiny.

(Source: Anime International Company)