Fruits Basket
Summary from MyAnimeList.net
Tohru Honda is a high school freshman who is having a serious bout of misfortune. Not only was she recently orphaned with the tragedy of her mother's death, but she also has nowhere to live and is currently residing in a tent! However, when her luck to seems to be at its worst, she meets the Sohma family, and is invited to stay with them in exchange for taking care of the household chores.
But it isn't long before Tohru discovers the Sohmas have a deep secret. The family is cursed by the spirits of the Chinese Zodiac, and some of the children born into the Sohma family are possessed by these spirits. When possessed, they cannot be "hugged" by the opposite sex, or they transform into their respective Zodiac animal!
However, this doesn't faze Tohru, who promises to keep their secret. She continues living with them, and her humbleness and thankfulness never wanes. As a result, they come to be very important people in her life, and the Sohmas begin to realize how very lucky they are to have her.
Mamotte Agemasu
From Manga Abyss:
1-3. Mamotte Agemasu Onizuka Takashi, leader of the strongest delinquent group in the Kantou region, is willing to become a monster for Hiragi Kotome, whom he fell in love with at first sight.
4. Kai Chiyou Omakase (I'll Leave It To You, President)
5. Naishiyono Xmas (Secret Xmas)
Mamotte Agemasu Special Chapter is under Mitsu no Yoru manga.
Read in this order: Mamotte Agemasu, Ubatte Agemasu (under title Akuma na Motokare), Shibatte Agemasu (under title Kareshi Wa Doberman Vol.1 Ch.4: Shibatte Agemasu)
Hadashi De Bara Wo Fume
Rich guy, poor girl, idiot brother...cute story
Sumi Kitamura is a poor average girl living in Meiji Era. To make it worse, she has 6 unrelated by blood baby brothers and sisters, and an older brother that left the town trying to get away from his debts, leaving them on her. In order to get money , Sumi goes wandering through the streets trying to sell herself for two thousand yen (equivalent to 3 million yen in modern-day Japan). Almost being raped by a man that will not pay, a man suddenly appears, saying that he will pay that amount if she marries him and throws all her love away for money....
Shinigami Hime No Saikon