
Her DragonRiders of Pern stories defined dragons in books, and set the bar for other authors to beat. While reading her books now might feel a little trite, it is only because she was the first to write in that style, and has been inspiration for many other popular writers.
A good place to start would be the Harper Hall books.
Not just Pern: If you haven't read any non-Pern McCaffrey books, may I suggest the Acorna series, or the Planet Raiders series, or the Crystal universe. Yes, she was a prolific writer with a long career!
Need inspiration?
Here are some of the best covers, in a Tor post written by the cover illustrator himself, Michael Whelan:
The Inspiration of Anne McCaffrey (Tor.com)