Here are my favorite picks for anime like Rinne no Lagrange. Keep in my the list is in no particular order. Enjoy the recommendations!
Friendship is the key to protecting the world.That is everyone’s wish. Here in a world where science has solved all questions.This story is set in Oshima. The happy, carefree 14 year old Akane Isshiki lived a poor, but well loved life together with her reliable little sister, Momo, who does all the housework, and her grandfather, Kenjirou, a genius inventor who only created useless devices. When the weather is clear, they can see the artificial island, Blue Island, across the sea. In the center of that island rises the revolutionary Manifestation Engine, a discovery that solved the world’s energy problems.
It is a peaceful future, just like everyone dreamed of. One where everyone can smile and be happy.But suddenly, the world is visited by danger. An unknown enemy, the Alone, appear, targeting the Manifestation Engine. As none of their weapons worked and they fell into despair, a lone girl takes a stand wearing a red “Palette Suit” which wields a great, hidden power. Before long, allies gather around her to fight.And their friendship becomes the only hope for saving the world!(Source: ANN)
The story centers around a spirited high school girl named Marika. She keeps herself busy with the space yacht club and her part-time job at a high-class retro café. One day, two strangers suddenly appear and claim to be subordinates of her dead father. They demand that she assume command of the space pirate ship Bentenmaru. A privateer ship’s compact was made during a war of independence a century ago, and according to that compact, the ship must be inherited by the captain’s next direct descendant. Marika finds herself embarking on a new life as a space pirate. (Source: MyAnimeList)
In the near future, Earth is at war with aliens called Worms. The war leaves the population of Earth decimated, with young men the main casualties. The Worms were beaten back but their re-emergence heralds the creation of a mecha unit called the Sonic Divers, piloted by 3 young girls to counter this threat. (Source: MyAnimeList)
Renton Thurston is a 14-year-old boy who lived with his mechanic grandfather in a backwater town. Every day he dreamed of being with the mercenary “Light Finding Operation (LFO)” aircraft pilot group “Gekkostate” and riding “Trapar” particle waves—a sport called “reffing”—with their charismatic leader Holland, especially when faced with his father’s acclaimed past or his grandfather’s desire to protect him.
When a young girl named Eureka riding the original LFO, the “Nirvash typeZERO,” asks his grandfather for a tune-up, she inadvertently brings the attention of the military to the garage; as a result, the garage is destroyed and Renton is forced to deliver a new type of interface—the “Amita Drive”—to the Nirvash. After a heated fight in which the Nirvash destroys the military LFOs by unleashing an immense amount of power, Renton is invited into Gekkostate. However, he quickly realizes that behind the facade of a traveling group of mercenaries is a very bitter reality. (Source: ANN)
The year is 1944 and the world lives in fear of unidentified flying objects called Neuroi. With the old-boy old guard unable to thwart this deadly menace, humanity turns its desperate eyes to an aerial attack force with much nicer legs. Meet the girls of the 501st Joint Fighter Wing, better known as the Strike Witches. These darlings of the great blue yonder may not have standard issue uniforms, but they do have all the right stuff. Where the average flyboy falters, these dolls blast aliens to bits in the bat of an eyelash. With a little magic and a whole lot of leg, the girls of the 501st are winning the war on pants, and aliens! (Source: Rightstuf)
Kyouhei, after moving away to Tokyo from his old town to get away from the events that happened, is on a goukon with his friends, including his old neighbor, Shiba. After drinking for a whole night, he and Shiba discover a dead, bloody body in the elevator. He is told by his younger sister, Utao with her Kamisama Doll, that Aki, an old friend, and his Doll are the culprits responsible. (Source: MyAnimeList)
Twenty years prior to the story’s beginning, an asteroid headed for Earth destroys Pluto. Due to Pluto’s destruction, the asteroid, which is dubbed Thanatos, becomes temporarily stagnant. Now, in order to avoid Earth’s impending destruction, the International Solarsystem Development Agency (ISDA) works on the “D-Project”, and creates the “Dragonaut” after finding a dragon egg under the ocean. This weapon’s primary purpose is to destroy the asteroid when the time comes. However, they soon find out that the asteroid is not their only threat, as powerful dragon-like creatures, which are bent on destruction, appear on Earth.
After witnessing a murder by one of the creatures, Jin Kamishina, a lonely 18-year-old boy who lost his family in a shuttle accident two years ago, gets involved in the mysteries of the dragons and becomes the chosen pilot of the Dragonaut. Helping him on his journey is Toa, a mysterious girl who saves him from falling to his death after the creature attacks him. As they get deeper into the mysteries of the dragons, they encounter new friends and enemies, and also begin to develop a closer relationship. (Source: Wikipedia)
References: MyAnimeList, Wiki, ANN