Full Moon wo Sagashite is a must watch if you like the shoujo style. A more well know anime in the same style is Card Captor Sakura (CCS). If you liked CCS then you should watch Full Moon wo sagashite. As you could imagine from the synopsis, the story has a serious and sad note although the characters can be funny.
I liked the song of the anime a lot. Characters were awesome and likeable.
Once I started watching it, I couldn't stop watching.
Also the anime version is very different plot wise than the manga. But I think the anime plot is better and makes more sense than the plot from the manga.
