The Anime Lad
Portals called Mato connect Japan to another dimension and release dangerous monsters. Peaches from Mato grant powers to women, who form the Anti-Demon Corps. Yuuki Wakura is caught in an attack and rescued by commander Kyouka Uzen. Staying useful requires accepting her authority in combat and at home.
Super Eyepatch Fox
Mato portals open. Monsters escape. Special peaches give women the power to fight back through the Anti-Demon Corps. Kyouka commands its Seventh Unity and rescues Yuuki during an attack. His unusual usefulness earns a place in her service, with duties that continue after the battlefield.
Gigguku
Kyouka arrives as the commander who actually knows what to do when Mato opens. She saves Yuuki, recognizes that he can help, and sets the terms herself. The Anti-Demon Corps already belongs to its women. He is entering their system. That command-first premise gives the action and the ecchi setup the same clear source!
Father's Basement
The series builds its appeal around a young man entering a powerful woman's service, so subtlety is not part of the contract. The wider setup is simple. Mato releases monsters, peaches grant abilities to women, and the Anti-Demon Corps responds. Kyouka rescues Yuuki and brings him into her unit under terms that apply both in battle and at home.