The following series here tells stories within the Dragonlance setting.
The Tales series is a collection of short stories, which provide some more depth for the setting.
Many of the authors who went on to write longer books in the Dragonlance series got their start here with these collections of short stories.
The Magic of Krynn
Kender, Gully Dwarves, and Gnomes
Love and War
The Reign of Istar
The War of the Lance
A series of more short stories. There are more books in this series that continues to the 5th Age.
Defenders of Magic
This series tells the story of a wizard who must stop the threat of the destruction of magic in the world of Kyrnn. Mary Kirchoff does a very good job with this series about the life of Guerrand Di Thon.