I liked Anne McCaffery's Pern Series. I might be wrong, but it seems that she invented the dragon fantasy genre since she's been writing about them since the '60s. I'm not sure how long they run, but there's novels, novellas and short stories in the series.
Quote:
Life on Pern as presented in the novels resembles a pre-industrial society with lords, holds, harpers (musicians, entertainers, and teachers), and dragons, with the occasional examples of higher technology (like flamethrowers, telegraphi, chemical fertilizers, and powerful microscopes and telescopes).
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(From Wikipedia - LINK)
Here's a link to a list of books in order and in chronological order (PDF).