If you're looking for anime similar to Halcyon Lunch, you might like these titles.
Hakone is a hot spring spirit who descended to a spa resort on Earth. However, with her long slumber, she looks like a little girl on the outside. The high school boy Touya stumbles across her at a hot spring and ends up joining Hakone in retrieving her original powers.
Narumi Inoue has a problem with the new girl in school. It's not that Hibiki Amami is impolite or a bully… it's just that she sees, speaks with, and befriends ghosts! Now, it's at the point that when Amami's around, Inoue sometimes sees them too, spelling disaster for a girl who's terrified of anything supernatural. However, Amami's genuine kindness makes it hard for Inoue to ignore her, especially when her friends Kyoko, Kana, and Makoto, as well as the other students, have accepted Amami's habit of talking to thin air and walking around invisible obstacles. With gentle coaxing (and the knowledge that her departed grandmother is watching over her), Inoue finds herself immersed in Amami's strange, otherworldly adventures. Fulfilling the last wishes of the dead might not be a normal after-school activity, but at least they'll always know why the ghost crossed to the other side in RE-KAN!
When Asumi was just a baby, a space shuttle accident changed her life, and the lives of the townspeople of Yuigahama, forever. As a young woman, the spirited Asumi has only one desire: to someday travel to the stars in a rocket, with her father and ghostly friend Lion-san along for the ride. With heartache, happiness, and plenty of determination, Asumi and dozens of talented teenagers now face the greatest challenge of their lives: the test to enter a prestigious space academy, so that they may one day reach out and touch the stars...
Three shrine maids have a distant cousin who moved away for schooling when they were young. Years later, he returns, and the three girls are tasked with protecting him. During this, the eldest (who's a teacher at the school) and the middle one form a "Miko" council. The story goes through their growth together and their battles with the servants of the Evil God.
Following his near-fatal accident, Watanuki is returning to his normal routine of working at Yuuko's shop and arguing with Doumeki. However several people had to pay the price for saving him that day, and he is determined to show them all his gratitude - including Doumeki's deceased grandfather, Haruka. Unsure of how to repay someone who is no longer part of this world, Watanuki promises Haruka that he will find five items for him. Beginning the search, he meets Doumeki at his grandfather's old warehouse where the first item, an old storybook, is stored. As Watanuki reaches out for the book, he unwillingly brings the tale to life; and when the pair finds themselves running for their lives it becomes clear that fulfilling Haruka's task will be nowhere near as simple as they thought.
Watanuki faces challenges in every area. Spirits chase him, his best friend Doumeki isn't really a friend, and his boss Yuuko seems to have mistaken him for a servant come housewife. When Yuuko requests that both of them join her in accepting a special invitation to a collector's house, he can just hear the trouble coming. Upon arrival, the house proves to be more than a bit unusual, and the other guests are almost scary with their fanatical collecting. But, the worst thing about the situation is the knowledge that for all the weirdness Watanuki can see, it is absolutely certain that the mysteries are way more complicated that he thinks. Depending on Yuuko's arcane knowledge may be the only hope.
Kiitarou is a boy with a strong sixth sense who is always surrounded by demons. He gets talked to by Yuki Onna (snow women), gets his bath licked by Akaname (licking demons), and lives with the Zashikiwarashi Suzu, whom he just can't come to dislike.