Who are your favorite cartoon characters with Southern accents? Mine are...
Clumsy from the Smurfs
Cletus from the Simpsons
Mater from Cars
Fuzzy Lumpkins from the Powerpuff Girls
The Hillbilly Bears
The Cast of King of the Hill
"Why boy, you cover about as much as a flapper's skirt in a high wind!"
"Pay attention, son. I'm not talking just to hear my head roar!"
"Why, it's nothing but a little ol' lint-picking weasel. Hmph, lot of help I got from that dog. Suppose, ah say, suppose it had been a saber-toothed tiger!"
"Okay, I'll shut up. I'm not one that has to keep talking. Some people just have to keep their mouthes flapping, but not me. I was brought up right. My pa used to tell me 'shut up' and I'd shut up. I wouldn't say nothing. One time darned near starved to death *pushing back the iris out* Wouldn't tell him I was hungry!"
It's not southern, but pretty much most of the cast of King of the Hill. A lot of cartoons tend to make characters with southern accents less intelligent for some reason, but the KOTH characters are just quirky, not stupid.
As well as the ones mentioned here already:
Cletus the slack-jawed yokel
Ironhide from Transformers (well, he DOES have a southern accent)
Wally Gator
Gung-Ho and Cross Country from GI Joe