If you're looking for anime similar to Lostorage Incited WIXOSS, you might like these titles.
One night, Madoka has a terrible nightmare – against the backdrop of a desolate landscape, she watches a magical girl battle a terrifying creature, and lose. The next day, the teen's dream becomes reality when the girl – Homura – arrives at Mitakihara Middle School as a transfer student, mysteriously warning Madoka to stay just the way she is. But when she and her best friend Miki are pulled into a twisted illusion world and meet a magical creature named Kyubey, the pair discovers that magical girls are real, and what's more, they can choose to become one. All they must do is sign a contract with Kyubey and agree to fight witches that spread despair to the human world, and in return they will be granted a single wish. However, as Homura's omen suggests, there's far more to becoming a magical girl than Madoka and Miki realize...
Both shows mix teenage girls, magical elements, city environments, and a dark tone. The main characters are also similar, in that they have a lot of insecurities that they need to overcome. Friendships between girls are important in both shows.
Athletic Mato is excited to start middle school and meet new people, including Yomi, an artistic girl who doesn't open up easily to others. While awkward around each other at first, things change when the girls discover their mutual obsession for a fantastical picture book. But just as the pair becomes fast friends, they're torn apart by a cruel, wheelchair-bound girl who considers Yomi her personal possession and refuses to let anyone else near her. What's worse, Mato has recently begun to have strange dreams about girls brawling in bizarre colorful worlds that seem to parallel her personal struggles. With jealousy, insecurity, and foreboding dreams always getting in the way, can the two girls ever become true friends?
Both shows mix dark fantasy elements, emotional breakdowns, and a cast containing a lot of teenage girls. The friendships between said girls breaking down, with one side struggling to regain what has been lost between them, are important parts of both shows.
Looking for a change, Mikado moves from the countryside to bustling Ikebukuro to attend the same high school as his best friend, Masaomi. Though navigating a new school and friendships can prove tough by itself, Mikado also finds an overwhelming number of new delights and dangers in the district he now calls home. From a friendly Russian sushi bar to the violent color gangs, to even an urban legend in the form of a black motorcycle rider, each resident of Ikebukuro is unique and frightening. But the town is smaller than it seems at first, and these strange events appear to be connected. Will the growing storm sweep up the transplanted country boy and his friends or will Mikado find himself at the center of a dramatic change for Tokyo?
While these two shows have many things in common when it comes to tone (though Wixoss is quite the bit darker) and setting, with a big modern city and dark magical elements, the main reason for this recommendation is the duality of Izaya (Durarara) and Satomi (Wixoss). Both characters serve as driving forces from behind the shadows in their shows, and have similar motivations and personalities. I think that, if you like one show specifically for that elemenent, you'll definitely like the other.
Clumsy, good-natured Saya lives a happy life surrounded by her classmates, her admirers, and the loving guidance of her father, the priest of a shrine. But mysterious, bloodthirsty monsters have begun to appear, and as the daughter of the shrine, Saya is tasked with keeping the village safe – even if it costs the girl her life. Now, between her schoolwork and friendships, Saya must pick up the sword and keep these brutal creatures at bay. Will Saya be able to return to the quiet life she once knew?
In the near future, a battle card game called "Battle Spirits" has gained enormous popularity. Players of the game -- known as "Battlers" -- start duelings everywhere using their color-coded cards with different attributes, creating a "Sengoku (Warring States) period" for the game.
Yu-yu is a boy living in Kanazawa, Kaga Province. He is 15 years old and in his third year of junior high school. He has the ability to sense the feeling of others, but he is troubled by the fact that he cannot say no when asked. One day, Yu-yu could no longer stand going along with his sister's hobby, so he ran away from home. The one who saves him is Megumi Okura. Megumi invites Yu-yu to a nighttime amusement park called "Wonder Hill" where her friends hang out. At the amusement park, Yu-yu meets Megumi, Zakusa Ishikame, and Tomari Seto, members of "Team Blackout," a group that meets to play Vanguard every night. Tonight, a serious fight for the team's flag will take place. Blackout's leader, Danji Momoyama, and the mysterious and powerful fighter, Tohya Ebata. As Yu-yu stares at them, the card fight is soon eroded into a world of images. This is how Yu-yu encounters Vanguard, a world he has never seen before, and is drawn by its powerful allure - making new friends along the way.