Pride: His fatal flaw. He insists on not just having Br'er Bear club Br'er Rabbit because he wants to prove that he's more clever than Br'er Rabbit.
Spared by the Adaptation: Generally, stories involving Br'er Rabbit and Br'er Fox end with Fox getting caught in his own trap and dying, which naturally doesn't happen here. Granted, he would always return for the next tale.
Villainous Glutton: For someone so thin, he is very obsessed with cooking Br'er Rabbit. Though it must be said that it is more about pride and hatred than food as he was willing to forgo a meal if that meant he would give Br'er Rabbit the worst fate he could think of.
Cool Old Guy: A mentor and a pleasant fellow who tells good stories to kids and advises them.
Magical Negro: His wiseness establishes him as one. He could also be a subversion, since in the end he actually DOES step forward and save the day, rather than motivating a white person to do it themself.
Nice Guy: He's the only character in the movie to not be shown having any real character flaws or being rude to people at any point. Given that the movie was trying promote tolerance, this was probably intentional.
Adults Are Useless: Especially in her case as her actions almost lead to her son's demise.
Control Freak: She is so determined to raise Johnny the way she sees fit that she won't listen to anyone's advice unless Miss Doshy overrules her.
Not Now, Kid: She doesn't listen to her own son or anybody else for that matter and she even shows reluctance when Johnny requests to invite Ginny to his birthday party.
Adults Are Useless: Averted but not quite to the same extent as Uncle Remus, she openly refuses his advice but she at least understands that Johnny needs a role model or at least a friend and sees Remus as such.
Ignored Expert: She warns Sally that she's only doing Johnny more harm than good by telling Uncle Remus not to tell him stories.