Since the thread has mentioned other series of hers, I'll co-opt part of it to simply mention some Anne books I like that I think have been overlooked.
Restoree - one of her earliest and one of my favorites. I can't say what I love about this book other than...the quirkiness. The heroine of a book kidnapped by aliens, FLAYED ALIVE, sent through extreme corrective plastic surgery, and then doped and left to be an orderly in a hospital of "mental defectives"! That's what happens before you even meet her
. The best I can say is that it's much better than it sounds with that intro. In it's broadest sense, it's a Cinderella story.
The Crystal Singer trilogy - Crystal Singer, Killashandra, Crystal Line. A great set of books. The first two are fantastic, the third is the weakest but still "readable". Just like the Pern books (teleporting firebreathing dragons battling rains of deadly spores from space), it takes a totally improbable premise (fabulously valuable physics-violating quartz crystal mined by humans with perfect pitch) and tries to wrap it in a thin veneer of scientific explanation. Also like the Pern books, the science is secondary to the "story". Reading the three books in series you get a glimpse of something rarely provided in light science fiction...the rise, peak, and fall/redemption of a character.