SSBB and Mario Kart Wii (and some other games) allow you to choose your controller combination. You can choose Wiimote-only, Wiimote and Nunchuck, Classic controller, Gamecube controller, anything. I guess that's because, while "innovative and intuitive and whatnot" Wiimote controls are fun and all, they're not necessairily everyone's favourite.
What kind of controller do you prefer? What's more important to you in a controller? Comfort and/or key layout aside (imagine it's custom-tailored to your hand), what do you look for in a controller? Precision? Ease of use? Intuitive control? Realism? Based on your priorities, what controller do you prefer? A gamepad, the Wiimote, a keyboard and mouse, or would you prefer an entire collection of genre-specific controllers (like joysticks, flight yokes, HOTAS systems, steering wheels, USB golf clubs, digital fishing rods, lightguns, guitars, etc. etc. etc.)?