Sgt. Keroro

Sgt. Frog, known in Japan as Keroro Gunso, is a manga series by Mine Yoshizaki. It was later serialized into an anime TV series derected by Junichi Sato. Both the anime and manga are comedies that follow the attempts of a platoon of frog-like alien invaders to conquer Earth. Sergeant Keroro, the titular character, is the leader of the pletoon, but is at the mercy of a human family of three after he is captured while trying to hide in one of the family member's bedrooms. In both the manga and anime, Keroro is forced to do meaningless chores and errands for the family after fis army abandons his platoon on Earth. The platoon has many failed attempts at taking over Earth.
The series takes its comedy from a combination of wordplay, physical humor, situational irony, breaking of the fourth wall, and numerous pop culture references. Various anime, games, manga and other aspects of pop culture are parodied/referenced throughout the series as a bonus to older viewers. Both the manga and the anime are laden with pop-culture references, and even in the same story the references often vary wildly.