Fruits Basket, Full Moon wo Sagashite Recommendations
Both start as comedies with a lot of fun until an unexpected turn of events which leads to drama and near the end somehow it becomes darker. Both have a naive goody goody protagonist that ends up befriending people who are in a supernatural situation[shinigami/cursed family]. Both have extremely cliche situations but extremely well executed. Amazing ost and voice actors.
Both have a lovely character that can turn into a bunny[Meroko/Momiji] and another one who can turn into an impulsive cat[Takuto/Kyo]. Both animes try to give you life lessons (the power of love, friendship, family, bonds etc).
Supernatural shoujo drama comedy. Both have a story which is light and funny in the beginning, but still with a kinda dark feeling, and then takes a much deeper and dramatic turn. The series are both about a girl who's living a quite normal life until they meet with some strange people (who can turn into animals) and their whole lives abruptly changes. The art is quite alike too, very cute.
Tohru reminds me of Mitsuki in many ways. They don't have any parents but are still really happy persons who thinks that life is great, and they're both trying to enjoy it to the fullest.