If you're looking for anime similar to Haiyore! Nyaruko-san, you might like these titles.
Kio and all his family members are gathered for a funeral in Okinawa. This same day, a message arrives from outer space. There he encounters a girl named Elis who claims to be an alien.
Lu Fan, a white-collar urban woman who has always considered herself a more ordinary woman than anyone else, is suddenly abducted by an alien one day. The alien, who claim to be from Saturn, tells the absurd reason for their invasion of Earth, and that the key to the invasion plan is to make Lu Fan fall in love with him and then betray the Earth. In the funny daily life with the Saturnian, aliens from various planets start to appear around Lu Fan one after another! These aliens have their own objectives, but because of their intertwined destinies, they all end up in Beijing. Lu Fan begins to realize that she is not as ordinary as she thought, and she slowly develops a crush on the Saturnian. How will she choose?
Souta Hatate is a boy who has the unique ability to see "Flags" above the heads of other people. The "Flags" mark critical crossroads in people's lives — when the choices they make will determine love, friendship, victory, and even death. He transfers into Tokyo's elite Hatagaya Academy, but instead of living by himself in the boys' dormitory, he ends up living with many beautiful girls under one roof.
With the introduction of an ultra-advanced AI that surpasses human intelligence, beings that mankind is yet to fully comprehend made from materials far too advanced for human technology begin coming into being. Lacia, an hIE equipped with a black coffin-shaped device, is one of these. In boy-meets-girl fashion, 17-year-old Arato Endo has a fateful encounter with the artificial Lacia.
The story is set on July 7. "In the midst of the Tanabata festival celebrations, Shido meets Kurumi, the worst Spirit. And the couple's destination is … a wedding ceremony hall!?"
Shido Itsuka was born in a world where widespread catastrophes of varying size called spacequakes can happen anytime and anywhere, razing everything in the vicinity. When his city's alarm forewarns one impending, the teenager races to his sister Kotori in an attempt to rescue her. But upon his arrival, the spacequake transpires in that very spot, and standing in the middle of the destruction is a beautiful sword-wielding girl. Soon after, he learns she is one of many beings called "Spirits" who cause the disasters, and charming those like her is the solution to preventing them. Effective immediately, Shido must date Spirits and make them fall in love with him, because if he cannot, mankind's destruction may very well be inevitable.