Murder Princess, Kaibutsu Oujo Recommendations
They both have princesses who know how to fight. Both have similar art styles and some characters can relate. Though they have different storylines... they somewhat seem similar.
both of the princess are badasses and powerful...also both series are about supernatural creatures
In both series, there's the focus of the supernatural and a royal princess who is skilled in combat. Both series' main female protagonist has scarlet red eyes with a strong personality. They also care for their servants despite their status.
Both series has comedy, drama, action, and horror that is presented in a strange way.