Ore no Sora: Keiji-hen

Ippei Yasuda is a rookie police officer. Unknown to his fellow officers, he is the son of a rich and influential family and fiancee to Hitomi Misaki, whose family also has political, business and yakuza connections. Ippei uses unorthodox methods (with little concern about the cost) to bring criminals to justice.

(Source: ANN)

Included one-shot:
Volume 7: Etsuko to Saburou