Melee was the first Super Smash Bros game I've played, so I have become a natural with the Gamecube controller. It just seems to have the perfect placement of buttons, eliminating any confusion that may follow. On the other hand, a Wiimote-turned-sideways throws me off greatly, whereas it paired with a Nunchuk better fits my preference but lack one thing: the C-Stick. That is one thing I loved about the GC controls ever since learning about it. With Pikachu in Melee I used to employ the side-shock attack or downward electric cyclone move (whatever it's called) to nearby enemies, rocketing their HP up by the ten %s each time they aspired to challenge me head-on.
But there is also the Classic Controller that plugs into the Wiimote, and some brands are shaped like Gamecube controllers; mine is. I could wield this with almost equal results, but don't since it requires batteries to play. And at the moment my Wiimote power is being conserved for Skyward Sword. So I continue to utilize the GC controls as my main asset for Brawl (and Melee), regardless of their irksome tendency to become entangled.