The animé 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 animé only makes it to chapter 33. A lot of things happen in the other 103 chapters that the animé 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 toi have to read the manga, I’m saying toi have to read the manga to get the full story. Whether toi want the full story ou not is a different matter.