Raistlin Majere, and Tasslehoof Burrfoot were by far the most interesting characters in the series. "Kender, Gully Dwarves, and Gnomes" was among the first fantasy books I read in the very small library in my home town, (prior to that I was all science fiction), and it inspired me to tackle some of the bigger Dragonlance novels, I have probably about 50-100 Dragonlance novels, on my shelves.
Raistlin pulled off the very odd alignment Evil-Good, of course the very obvious evil things he did defined him, and the big good things he did were largely to serve his own desires "This happens because I want it to happen!", not really him doing them to be good. At the same time, every once in a while he showed compassion for the downtrodden, and weak, such as with Bupu. How many can so truly say they sacrificed themselves to save the world?
Tasslehoff, who could not love Tasslehoof, he has the innocence of a child, and the will to grow beyond what we would think is possible for a kender. He is one of the true heroes of the story, saving the world and having fun doing it. He even manages to sneak a little comic relief in on the side. He is probably why my heart is in fantasy, as opposed to science fiction.
Bupu, Dalamar, Kitiara, Tika, I though were good and interesting enough for the bit parts they played in the books. The rest of the characters were stereotypes we had already seen in too many books, or just plane boring and uninspiring, not to say they didn't have moments, but not enough to justify the amount of text dedicated to them.
In later series Palin, Usha and Linsha Majere were interesting characters, but as a whole I didn't like the later novels as much.