If you're looking for anime similar to Hikari no Machi (Inio ASANO), you might like these titles.
High school student Homura Suzuko has returned to Ikebukuro, the town where she grew up. But when she gets to school, she finds she has trouble fitting in with the rest of the class. One day, she decides that if she learns to play the card game Wixoss, she might be able to make some friends. She buys a deck set, and when she opens it, the girl on one of the cards begins to move, and speak. "Welcome, Selector." Selectors must battle for control of the five coins that hold all their memories. If they can retake all the coins, they win, and can leave the game. But if they lose, as a penalty--
Shiki ends up keeping a black cat while Mikiya Kokutou is out of town. Meanwhile, Ririsu Miyasuki, a student of Reien Girls’ Academy, suffers from the loss of her best friend who committed suicide by jumping off the Fujou Building. When she tries to kill herself, she encounters her classmate Asagami Fujino, who has psychokinetic power.
Pepe Benengeli continues his cycling journey with Team Pao Pao Beer, as they head to Japan to compete in the Japan Cup - a race that may be their very last together as a team. Teammate Jean Luigi Ciocci starts to question if he's doing the right thing after the suicide of legendary cyclist Marco Rondanini, whom he was close friends with, while Pepe rallies the team to push forward. For better or for worse, Team Pao Pao heads forth in the pouring rain to try and reach another victory.
A young assassin known as Glass Heart, trained in killing since childhood, decides to end her own life. Unknown to her, powerful people in the criminal underworld are watching her every move, and a new heart, donated by a woman recently ran over by a truck, is stolen to replace the one she ruins. But as she slowly recovers, she begins to see strange visions from the life of the heart's previous owner. She decides to pursue these visions to discover their meaning, and find a new purpose in life. What she finds is Ryo Saeba, a lecherous old detective who despite appearances, could be the answer she has looked for all her life...
A boy arrives in purgatory after dying, where he is informed that in his past life he committed a terrible sin, and cannot be reincarnated until he can remember what it was. Until he does, he is placed in the body of a middle school student named Makoto who committed suicide three days ago, and is instructed to live the deceased boy’s life. New Makoto quickly becomes fed up with his host body's situation, as the boy doesn't have any friends, his family life is in shambles, and his mere presence makes everyone around him nervous. But giving up is not an option, and if the spirit ever wants to move on, he must adjust to Makoto's life and understand what happened in the past.