Sparta Teikoku Kenkoku Senki 空流

I want to have sex with women. Just when I was having such a thought, I was somehow reincarnated into a world similar to ancient Greece and underwent training as a soldier. In order to work off my overflowing lust, I have trained my body well, and I will further perfect it in battles. In this lawless, savage world where only the strong get to live on, I will get my hands on all kinds of women to sate my lust as I please.
The protagonist is an evil person, but still shows a shred of empathy at times.