I have to say my favourite books by Anne McCaffrey have to be
Dragonsong and
Moreta: Dragonlady of Pern out of the Dragonriders of Pern series, and
Freedom's Landing out of the Catteni sequence.
Dragonsong because I love Menolly and her fire lizards in it (I don't know why I prefer this book to Dragonsong, but I do lol)
Moreta: Dragonlady of Pern because I thought it was different. And it made me cry near the end

which is a good thing, honest lol
And Freedom's Landing because I love the idea of having to live without any technology, as well as having to work together, and exploring a planet, and *sigh* just all of it lol
I mean, I mean, there aren't any of Anne McCaffreys books that I've read that I haven't enjoyed, but these just have to be my favourite favourites =)