Originally in the manga Tohru's uncle calls her 'Tohru-chan' in which Yuki points his finger in his face saying 'Don't call her Tohru-chan like you're her friend. Lowlife.'
In the manga, Tohru's grandpa keeps calling her Kyoko, her mom, but in the anime, he calls her Tohru, her real name.
In the manga, Shigure remarks to Yuki and Kyo that they are "rescuing the princess." But in the anime, Shigure doesn't even come out.
Yuki: I hope you don't mind, the door was unlocked so we let ourselves in. Can I find Miss Honda's things upstairs?
Tohru's Aunt: Now just a moment, who are you? What is going on here?
Yuki: Don't worry, we'll be out of your way before you know it.
Tohru's Uncle: Ah, I get it now. These men must be the ones the little whore was shacking up with.
Yuki: Don't you ever talk that way about Miss Honda again, you low-life.
Shigure: Tohru? What's for breakfast? I'm starving ... Oh. I forgot, our dear sweet Tohru has gone gone away.
Yuki: That sounded like you forgot on purpose.
Shigure: Ah, welcome home!
(no one answers)
Shigure: "Hi, Shigure. It's good to be home." Is that too much to ask?
Shigure: A thousand perfectly lovely things you could have said, but what poetry spews from your mouth? "Any time." Really, Yuki.
Tohru: I didn't want to leave. I wanted to stay... I wanted to stay.
Yuki: (appearing suddenly) Well then, come home.
Kyo: Come on, let's go.
Tohru: I should have known. There was no way I could have joined the others. A rice ball doesn't belong in a fruits basket.
Shigure: We have just witnessed a classic example of what I like to call 'misdirected rage'. I believe the technical term is being an ass.