If you liked the Voices of a Distant Star anime, the Anime-Planet community thinks you'd like:
Yuichi is a teenage boy who was diagnosed with hepatitis; and as staying at the hospital is boring, he often sneaks out at night to hang out with his friends. However, each time he is caught by the slightly sadistic nurse Akiko, he just prolongs his stay at the hospital. After his most recent escape, instead of striking a punch or kick at Yuichi, Akiko says that she'll overlook his sneak outs if he becomes friends with 17-year-old Rika, another hospital resident. Rika doesn't open up to him at first, but she has her reasons: she has a weak heart; and though she may come off as selfish and rude, Yuichi looks beyond the surface to help both of them enjoy what life has to offer.
If you liked Voices of a Distant Star, you'd also like Hanbun no Tsuki ga Noboru Sora. They both primarily focus on the romance that goes on between the two main characters. They both also share some similarities in their ideal conclusion and plot.
In Voices of a Distant Star the plot revolves around how Mikako is called in to help fight off an alien invasion, and how she must leave her boyfriend, Noboru behind. The main idea is that their love for another is so strong that time doesn't matter for them.
In Hanbun no Tsuki ga Noboru Sora the plot is about how Yuuichi, a patient in a hospital, meets a girl who is about to die due to a severe heart problem, Rika. If Rika survives the surgery to save her life, she can live on for five more years. The main idea is how strong their love is for one another even with the limited time they have with each other.
In conclusion the similarities in the plot are based on their conclusions. The main characters from both stories seem to encounter major disadvantages in time. At the same all the characters don't seem to mind the fact about the time because their love for each other is immensely powerful.
Kazuna is a young man with a fairly normal life. He attends high school, lives with his surrogate family, and models for his somber love-interest Yaegashi's paintings. But recently, he has suffered several crippling attacks at the sight of blood -- attacks which leave him incapacitated and out of control. Kazuna must now reunite with his sister who he has not seen in years, and discover the truth behind his family name and vampiric genes, before his bloodthirsty desires destroy himself, or others close to him.
While visiting her uncle for the summer, six year old Hotaru gets lost in the woods outside the village. Scared, the crying girl is eventually rescued by a gentle youkai named Gin, who is burdened with a curse that will cause him to disappear if ever touched by a human. Though they are barred from physical contact, the two become close friends. But after a few short years it becomes apparent that Gin ages more slowly than humans, so while Hotaru is growing up and changing, Gin remains in stasis. How will Hotaru adapt to the complicated emotions she develops as her and Gin's ages gradually converge?
Constable Fuse is part of an elite Special Forces unit known as the Capital Police whose mission is to maintain peace during a time of civil unrest. Fuse becomes entangled within a web of intrigue and politics between the Capital Police, the government intelligence bureau, and a secret society known as Jin-Roh – the Wolf Brigade.
Four months ago aliens invaded Earth, but they're not obliterating cities or abducting huge amounts of people. Instead, they send one single alien to the surface each day and, for reasons unknown, teenager Kakashi is the only person in the world who can fight them. However, this duty takes a huge toll on the boy's psyche, and after a while his memories have all but disappeared. Only his broken cell phone is there to remind him of the life he left behind, but Kakashi is afraid to fix it - for what if there are no new messages, and nobody cares that he's no longer around?
A light bleached pair of animated titles, that both have an alien invasion, but actually center around relationships. A boy and a girl in Voices and a trio of younger men in Kono
In both titles there is a cell phone used as a prop. And the sending, and or waiting of messages.
The animation in both are a bit experimental. Voices was more experimental in the day, Kono uses some new techniques.