The
wikipedia page for Dragonlance is pretty good, and lists the core Dragonlance stories (mostly) by Margaret Weis and Tracy Hickman.
It's been a long time since I've read any of them, but I loved (most of) the books as a young adult in the late 80s and 90s. The original trilogy was Weis & Hickman's first foray into novel writing, and it shows, but they remain classics. W&H get much better with the later Dragonlance stories, as well as their other non-Dragonlance novels.
Outside the core stories by W&H, there are over 100 additional Dragonlance novels. Some continue the stories of the main characters from Chronicles, or dive into their pasts. Others do the same for nations of the various peoples of Krynn (elves, dwarves, etc). There's even a few that aren't "history" focused and tell new stories with new characters. Of course, with that many books, some are great, some are terrible, and most fall in-between and are "OK". I enjoyed them all, with the exception of the humorous small people stories focused on gnomes, kender, and gully dwarves which I found not all that funny and very cringey.
In addition to the core stories, consider reading
"The New Adventures", which are a YA series of books with entirely new characters. Aimed at the young side of YA (Young Adult), they are still pretty good reads IMO.