If you're looking for manga similar to Date a Live III, you might like these titles.
Three quarters of the world is the world of the dead. The world has been invaded by phantoms. One day, a boy named Nagi finds in the mountains of scrap wood a mechanical teenage maid girl. He immediately takes her home to repair her. The first things that Elise, this mysterious mechanical maid, says is, "Good morning, Nagi." Who is this mysterious silver haired girl? The fate of the world rests in their hands.
Sasukiba Sorata is a genius swordsman in an age where magic is all he has to face as a swordsman without magic. The story begins when he accepted for his talent in Enbu Academy of magic only for women, he meets Felicia which it is the number one magician and leader of "Seven-Star Knight", the meeting was intended to cause drastic changes the fate of the world. When the strongest swordsman must undergo seven sorcerers - A new legendary history!
Shun Yanahara is a pretty normal first-year high school boy. His grades are not terrific, he's not very popular with girls, and he plays soccer with his school's club. He's often felt like someone was watching him, and, strangely enough, he's right. On a far away Earth-like planet known as O-pa, there is a civilization made entirely of women. One of them, a scientist named Lib Myura, has fallen in love with Shun. She and her two colleagues have created an illegal male human robot, called a synchroid, which they intend to fill with Shun's consciousness. However, things never go exactly as planned...
Invaders from another world are attacking the Earth, and humanity's only hope lies in special armors called Hybrid Heart Gears, or HHGs. Hida Kizuna might seem unexceptional, but he has a skill that can turn the tide of battle--by getting female HHG users hot and bothered, he can replenish their energy!
On a world without women, the surviving men have fashioned curvaceous androids in the female form. Called Marionettes, they are built for one purpose--to obey man's every whim...except one.