If you're looking for anime similar to Kochira Katsushikaku Kameari Kouenmae Hashutsujo: Ryou-san to Chyuuken Rakkii Monogatari - Kameari D, you might like these titles.
Gougou, the man who deals with himself, strangers and the society as a whole at his own pace. He tends to confuse his surroundings beginning with his unique name, but surprisingly his job is upholding law and order as policeman. However, his way of life as modern time policeman leaves his superiors, civilians and even criminals dumbfounded. It's the new type of police comedy the Heisei-era has brough forth.
The story will center on Sabrina, a princess of the Attakaino Kingdom who looks exactly like Lemon Giboshi. She is kidnapped when she visits Japan, and Ryotsu rescues her and shows her around Shitamachi before more trouble breaks out.
The Kameari Park police box officers go on vacation in Hawaii, but after Ryotsu sees a childhood friend who was supposedly dead for the past ten years he & the Katsushika Police Force become involved in a terrorist's plan to use a giant UFO-shaped object to create tornadoes that can rip Tokyo to shreds.