I've read The Song of The Lioness, The Immortals Quartet, Protector of the Small, Circle of Magic, Circle Opens and The The Will of the Empress.
My favorite series has got to be Protector of the Small. Here are my favorite quotes:
"I've been a girl for a while, Owen."
Keladry of Mindelan
"You can be rude without trying. The stump would penalize you for talking so loud and free. It's your own fault for encouraging him when he was a first-year, you know. Now he thinks he's a human being."
Neal of Queenscove
*sighs wistfully too*
That must be Daughter of the Lioness, Luna. It follows Alanna's daughter, Alianne, there are two books in the series. I've only read a bit of the first book though.