Pikmin, Pokemon, Kid Icarus, Luigi's Mansion, Donkey Kong, Kirby, and Fire Emblem.
I find it surprising that anyone who plays Brawl can't immediately think of a few franchises, what with the thirty+ characters in the game.
Donkey Kong has sucked since RARE left Nintendo. Actually, Donkey Kong kinda sucked even on the Nintendo 64...once it entered the 3D era, it lost it's luster.
Kid Icarus hasn't had a game since 1991...I heard about some company getting the rights to make a sequel some time ago but I don't think any news came of that. I wonder if it was just canceled or something.
Luigi's Mansion wasn't a franchise, it was 1 game and a spin-off of the Mario series. Luigi may get a game in the future, who knows.
Kirby is a pretty good series, I am wondering how good they will be since Sakurai left HAL. So far they only released a remake of an old Kirby game since he left.
Fire Emblem I guess is alright, they are releasing a remake soon. Haven't played the one for the wii yet.
Really, maybe they should try and make a new game series...but than again, what's it matter anyway? They already have all the genre's accounted for. Making a new series would basically just be the same thing but adding a different gimmick to it. Sure it would be "Different"...