As with almost everyone here (and likely anyone who will post afterward), I recommend you start with Chronicles and Legends. After that, read on if you’re of a mind to. There is no such thing as “GOOD fantasy.” As each person has their own tastes, I leave it up to you to decide how and if you want to persue.
Much of Dragonlance gets described as “pot-boiler,” but as with most things, if you skip them out of hand, you’ll miss some things you’ll really enjoy. There’s a tree of related series in Dragonlace at http://www.wizards.com/books/main.asp?x=dragonlance/novellist,1&b=dragonlance – and considering each box represents a trilogy or sextet, that’s a lot of reading out there. (From what I saw, just under 90 books)
Of course, since it’s writing shared by a HUGE number of authors, you get a host of different qualities of writing, and lots of inconsistencies. But all that doesn’t matter… Only by reading the book can you be the final judge of it.
Of course, if you’re around for advice from people who’ve read them, you’ll get lots of that too. Weis and Hickman started the story with one of the best group of adventurers I’ve ever seen assembled. They all had personality, flair, character, emotion… life! The bonds they had with each other was also both fun and touching; like taking an outside look at one’s “clique” from high school and learning about them–only with less dragon-slaying.
I could go on what I like about the characters individually, but that’s relatively meaningless. Give it a read… See for yourself. It’s definitely not something to skip just on the grounds of over-exposure. Just because there’s a third Crocodile Dundee movie out doesn’t make the first one any less enjoyable.
There are a few things to think about, though. Chances are if you’ve played D&D you’ll find your own special connections to the world of Krynn–or even if you role-play in general. (As a roleplayer I have my OWN problems with D&D, but only systematically. Each of their worlds has a great many pros and cons about them. The cons I can ignore. <grin> ) It has a LOT of depth and history, whether or not each segment is “well-written” doesn’t take away from that.
I’ve read probably 50 or so of the Dragonlance series, and I haven’t read very many other TSR books outside of Salvatore’s Drizzt novels. Lost interest in it after a while for various reasons, but picked up again when they were making many world-alterations, and it piqued my interest again. I’m sure someday I’ll catch up on them all for the hell of it. Even 90 books is a piddling amount to what the avid fantasy reader will consume in a lifetime. Perhaps even in a year’s time!
I revisit the better ones now and then, and let me assure you there are a lot of gems. Have fun finding them.