It was announced at the end of the 13th episode of the How a Realist Hero Rebuilt the Kingdom anime that the series will be getting a second part in January 2022. FUNimation Entertainment has announced that it will be simulcasting the second part as it airs in Japan.
The story of the series is described as:
Suddenly summoned to a fantasy world and betrothed to the princess, Kazuya Souma is crowned the new king after providing the royal family with impressive advice.
To rule the kingdom, he’s taking the nontraditional (and very human) route of administrative reform. In a realm of dragons and elves, will this revolutionary’s unique path prove effective?
Based on the light novel by Dojyomaru, How a Realist Hero Rebuilt the Kingdomis directed by Takashi Watanabe at studio J.C.Staff, with original character design by Fuyuyuki, character designs by Mai Otsuka and music by Akiyuki Tateyama.
Source: FUNimation Entertainment