If you liked the Angelique ~When the Heart Awakens~ anime, the Anime-Planet community thinks you'd like:
Once there lived an eccentric author called Drosselmeyer who wrote grand tragedies - one of them was the tale of a prince who sealed away an evil raven by breaking his own heart into tiny pieces. However, before the story could be completed, the author died and the tale took on a life of its own. Now, in a town where fiction and reality meet, the story continues on its tragic course with Ahiru, a duck who transforms into the beautiful Princess Tutu in order to restore the prince's heart. But will Ahiru's act of love be enough to defy the story's terrible destiny and lead to a happy ending?
Princess Tutu shares that episodic format with Angelique where a girl must collect fragments in order to heal a whole, along the way having numerous adventures. However, anyone thinking Angelique is entertaining should immediately proceed to watch Princess Tutu! It's an outstanding anime that actually creates a fresh, funny, and eccentric story around shoujo cliches like bishies, ballet, fairytales, cutesie animation etc. You will not be disappointed, trust me.
The god Mauser delivered unto a world of magic a prophecy: if the Scrapped Princess is allowed to live, she will destroy the entire world. But the knight who was to kill her could not end the life of a newborn child, and so she lived. Fifteen years later, her adopted brother and sister have sworn to protect her, and together they travel from town to town, searching for a life she can't have.
There are many tragic elements in Angelique that really make me think of Scrapped Princess. They don't have the same kind of story but they do share a similar tone. Both are strongly shoujo with cheerful central protagonists who has a rather bittersweet destiny. I'd really check out Scrapped Princess if you liked Angelique - When the Heart Awakens.