Tokyo is on edge due to a rash of recent killings targeting Butei - armed mercenaries that perform odd jobs and capture criminals. So when Kinji, a student at a local Butei high school, heads to class one day and discovers a bomb has been rigged to his bike, he’s certain he’ll be the next victim. That is, until Kinji’s elite classmate Aria saves his life, inadvertently triggering his superhuman ability that flares when he’s sexually aroused! Though Kinji would rather slack off at school and be left alone, Aria is now determined to make the teenager her slave, fetching her food and partnering with her on missions - including one very important to the girl. And nothing will stand in her way... not even Kinji's possessive childhood friend!
Over a century ago, mankind was devoured by giant beings of unknown intelligence and origin known as Titans – creatures that eat humans alive indiscriminately and for no apparent reason. The remaining population has managed to survive the last hundred years only by building a multi-walled city capable of keeping the Titans at bay, training military recruits to patrol the perimeter and gather intelligence about their mysterious foe. Eren and Mikasa have lived a relatively peaceful life behind the city's walls, but when a massive Titan appears, smashing the outer barrier and unleashing a wave of terror, their lives are brutally changed forever...
Henrietta is a young girl who works for a "welfare group" that does the government's dirty work. Cybernetically-enhanced and specially-trained, she is one of a group of elite hit-girls, remorseless killers with no memories of their past. Jose, her partner, has taken care of her since she was brought into the organization following the murder of her family, and struggles between his affection for her, and his opposing duty to his employer. But, time is running out.. for with each bullet they fire, Henrietta and the other girls lose a little more of their humanity.
Dating sim master Keima Katsuragi wants nothing more than to immerse himself in the 2D world, chasing digital girlfriends. But when the so-called 'Capturing God' answers a mysterious email from an unknown sender, Keima finds himself chasing down real-life ladies in an attempt to help the peppy demon Elsie de Lute Irma capture 'lost souls' escaped from the depths of hell. Now, lest the explosive collar around his neck detonate, Keima must convince various girls to fall in love with him in order to scare out the souls hiding in their hearts.
Boy meets girl and then girl lives with boy. This is sort of a stretch, but they still have the same aspects of completing missions together, though there is quite more action in Aria.
In both, a strange girl meets a dorky guy and ends up needing his help. In order to keep tabs on him, she decides it's best if they live together.
If you liked one, you will like the other.
Arsene Lupin the Third is the world’s most notorious thief, a master of disguise and an unashamed ladies man! Working alongside his partner-in-crime Jigen, the carefree Lupin, shoots, steals and flirts his way across the world while avoiding his ever-persistent nemesis, Inspector Zenigata. Whether he is trying to win a Grand Prix race, defeat an invincible magician or steal a set of precious playing cards from a millionaire, nothing is impossible for the great Lupin the Third.
Both shows are the same universe, with HoA being set further into the future.
This is not a rec of "you will probably like this too," as they are somewhat very different, but I thought that if you liked one show, you'd want to see what the other is about if for nothing more than curiosity.
A young man awakens in an abandoned warehouse with no memory of his past. As he leaves the room and ventures further into the warehouse he is attacked by a girl in a mask; she tells him that in order to live he must come at her with all his might. After a fight for his life, he manages to overpower the girl, learning that he is to be trained as a Phantom - an assassin for the Inferno organization. He is also given a new name: Zwei. For three months, Zwei is trained by the girl in the arts of assassination until he has just one final test: to kill a living human being.