Genzou Hitogata Kiwa manga

Fujimiya Momiji is a descendant of the Kushinada clan whose women possess the power to defeat the Aragami, an alien plant-like race, by sacrifice. After centuries of slumber, the Aragami have awakened and are invading Tokyo en route to conquering the world. In their way are the hapless schoolgirl Momiji, who becomes infected with one of the "Blue Seeds" - magatama beads that are the heart and soul of the Aragami - the TAC, a government agency whose sole mission is to stop the Aragami, and Kusanagi Mamoru, a young man infused with Aragami blood who swears vengeance on those who took his family away from him. Like the heroes of the past, this ragtag band of misfits must work together to defeat an ancient menace from the past, and one far closer to home.
taken from anidb

Kuzumi Kentarou is a salesman and also a organ donor card owner (their organs get donated upon death). He gets mugged and almost dies but eventually regains consciousness in a hospital and sees a patient with an ailing heart, Hasegawa Kirin, who tells him that he is completely compatible with her... as a donor. (very evil and selfish of her)

Kentarou promises to give his heart to her. However, Kentarou lives on, but he never got into college. He now works part-time in the hospital where he begs Kisaragi Ryouko, an organ transplant coordinator, "when will Kirin receive his heart?"

The story is set in Japan in the middle ages. Tsujimura Genzo is a puppeteer whose heart has become as hard as stone due to the murder of his beloved wife. In each story, Genzo brings the dead back alive as puppets, and by doing so, he is able to solve my

Hiroki Ichinose was having another regular day in high school. Then suddenly from a blinding light near his house, a girl claiming she came from the future appears. Her purpose turns out to be is to cure her ailing mother in the future through genetic manipulation but since changing the future is forbidden she is being pursued by future's timecops. Added to that, the girl turns out be his daughter!

From ADV:
When inventor Kyusaku Natsume transfers the brain of his son Ryunosuke's cat into a top secret android body, he doesn't lose a family pet...he gains a daughter! Nuku Nuku may appear to be a teenage girl, but her cute and cuddly exterior hides b

From ADV:
When inventor Kyusaku Natsume transfers the brain of his son Ryunosuke's cat into a top secret android body, he doesn't lose a family pet...he gains a daughter! Nuku Nuku may appear to be a teenage girl, but her cute and cuddly exterior hides both the superhuman strength of the world's most advanced android chassis and the lightning quick senses of a domestic feline. She�ll become the sister Ryunosuke never dreamed of, and she�s on a mission to save her new family from disaster!

No one want to write summary for it...

From ADV:
When inventor Kyusaku Natsume transfers the brain of his son Ryunosuke's cat into a top secret android body, he doesn't lose a family pet...he gains a daughter! Nuku Nuku may appear to be a teenage girl, but her cute and cuddly exterior hides both the superhuman strength of the world's most advanced android chassis and the lightning quick senses of a domestic feline. She'll become the sister Ryunosuke never dreamed of, and she's on a mission to save her new family from disaster!