You're going to have to be more specific, what Anime do you want to know that doesn't have an ending. Quite a few have had their endings cut short. Some of them are left open on purpose.
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No, all anime is changed to suit an episode basis. Manga is much more stretched out.
"I'm Alive!" by Becca is the 1st ending for Black Butler.
Well, I would have to say the Manga fulfills more of what audiences want to see happen between Ranma and Akane. As much as I love Rumiko Takahashi's work, she tends to leave her Anime at cliffhangers.
In the Anime and the Manga (if my memory is correct) Miaka pretty much ends up marrying Taka (who is the reincarnation of Tamahome from the book called 'The Universe of the Four Gods'.
Anime, anime, everythang anime, bag anime, watch anime.. And it goes on and on.