In the manga, Princess Tutu and Kraehe become good friends in the end. For some odd reason, the Anime one is different that the Manga one. Here. Read what the said :
Tutu : Kraehe, why do you continue to torment me?
Krahe : Because Mytho loves you and not me! But Mytho will be mine!
Tutu : Everyone has somebody that will love them. So wait for your true love.
Kraehe : I have been waiting!
(Kraehe shoots crow's feathers at Tutu)
Tutu : Kraehe, we can get along! For Mytho! Please!
(Kraahe stops dancing and stares at Tutu)
Kraehe : I've been so cruel to you. Why would you want to be friends with me?
Tutu : So we can end this war between us.
(Kraehe walks slowly toward Tutu, while she gets ready to hug her. Tutu wraps her arms around Kraehe's waist)