The anime isn’t finished. I doubt they’ll ever make a seconde season. The manga, on the other hand, is finished. Out of 136 chapters of manga, the anime only makes it to chapter 33. A lot of things happen in the other 103 chapters that the anime never gets to, including things that happen to Tohru, Yuki and Kyo. Their relationships change; people learn secrets and meet other people. I’m not saying u have to read the manga, I’m saying u have to read the manga to get the full story. Whether u want the full story of not is a different matter.