Type of Game: Swordplay
Examples: Jedi Knight, Pirates!, playing Zorro with a yardstick
Why Wii: Umm. If you need this explained to you, you are dumb. IGN editor dumb. Please kill yourself and any poor genetic horrors of children you may have perpetrated upon the earth as you are a giant floating turd in the gene pool. Either that or you've never played Zorro with a yardstick, in which case, I pity you.
Type of Game: Swinging Soldier
Examples: Bionic Commando
Why Wii: In Metroid 3, you can flick the nunchuck to fire Samus' grapple beam. You can use the grapple to pull doors off their hinges, rip shields away from enemies, and I assume, swing through the air and pull yourself up to high places. If Capcom doesn't take advantage of this kind of control scheme to do a Bionic Commando sequel, they should (in a fair world) be forced to hand over the license to someone who will.
Type of Game: Magic Soldier
Examples: Psi-Ops; Star Wars; Fable; Oblivion
Why Wii: Doing silly gestures to cast spells, telekinetically throw stuff (and people) around, and just generally feeling like a god among men has an undeniable appeal.
Type of Game: God Games
Examples: Black and White; Populous
Why Wii: See above, but scratch the "among men" part. Just imagine raising and lowering terrain by making gestures like Mickey Mouse in The Sorceror's Apprentice. Part the Red Sea with your hands mutha#&*$a! :O
Type of Game: Rythm Games
Examples: Samba de Amigo
Why Wii: It's got two motion sensitive controllers built in. Admittedly, they're connected by a pretty short cord, but they'll do. And if you enable the option of simply using two Wiimotes at a time, it's perfect. There was a drum kit demo at E3 that could easily be made into a game. Heck, with the nunchuck in your right hand and the wiimote in your left, you might even be able to pull off something like Guitar Hero.
Type of Game: Boxing
Examples: Fight Night, Punchout
Why Wii: Two motion sensors. Two fists. Let's get it on.
Type of Game: Robot Monster Rampage
Examples: Rampage, King Kong
Why Wii: The second I heard Super Monkey Ball for the Wii had whack-a-mole as a mini game, I had fantasies of smushing little screaming people with my giant ape feet and swinging at biplanes with my giant ape fists. I don't really know what this game would look like, but I still want to squish people, dammit! And Eye Lasers! I must use the wiimote to control my eye lasers!
Heheh. Okay, enough rambling and ranting. If you have any brilliant use of the Wii controller that you want to see, please post it.