Urusei Yatsura

An alien invasion threatens Earth, and humanity’s fate rests on a single random champion: Ataru Moroboshi, a lazy, girl-obsessed student at Tomobiki High School, who reluctantly accepts the challenge. His mission sounds deceptively simple—win a game of tag by grabbing the horns of Lum, the beautiful alien princess clad in a tiger-stripe bikini. But Lum can fly and wield powerful electric shocks, making the task far more difficult than Ataru anticipated. He eventually manages to catch her through sheer persistence, only to receive another jolt: Lum declares him her betrothed "darling" and has no intention of returning to her home world anytime soon.