Fruits Basket I found cute as an anime, but I didn't like the ending. Too rushed, and done while the manga was still developing. Let me know how it progresses Nuri, I've been searching for a sensible opinion on it (which is rare supply these days thanks to all the Furuba fangirls).
I've been keeping up with the Fruits Basket manga here so I can give you my opinion if you want it. I am a fan of the series/manga but my love the series isn't anywhere near the obession displayed by people like the infamous Sepiroth fangirl.
Anyways, the first few volumes of the manga are very much like the series. There are a few scenes/side stories like Tohru thinking back to when she was a child and was lost. Apparently she met one of the Sohmas as a child. Now after the first few volumes of the manga, the sequence of events in the series is different. For instance the dramatic events with Kyo occurred before some of the lighter everyday stuff in the series. I'll have to look at the books later (I'm a at work) to give you specifics if you want. Also Shigure is portrayed as a carefree hentai in the series, but the manga hints at a darker side to him. You can tell he's plotting something. What remains to be seen though. Also you are introduced to the remaining cursed members of the family.
Oh also the romantic pairing is becoming clearer. It's leaning the way I want it to thankfully.