Ieatatsonic is a necromancer and should be punished with a humorous image.
Out of curiosity, why is it you can't use the nunchuck? Is it because you have no way to hold it and access all the buttons? You might want to consider erecting a support stand, or sitting down and propping in up with your knee if that's the case.
Anyways if it still matters, SPM is probably the best game that doesn't require the nunchuck. In fact I'll even make a list like ks8 did to show which games take which controller type. Only I'll have less games, because the ones I play are actually good! Note that I even included asterisks to show how good it is, except for wii sports which you're getting whether you want to or not. Prepare to proclaim blasphemy when I say I liked SSR...well, less than TP. Do you really expect me to be unconventional all the time?
Wii Sports-Boxing requires the nunchuck, but nobody likes boxing anyways and it doesn't require button pressing so much as thrusting, which I'd imagine you woudn't have much trouble with.
Twilight Princess***-The nunchuck's mandatory here, and is used extensively in combat. Stick to the gamecube version if you're interested in the game.
SSR**-No nunchuck required, and you only really need to use 4 buttons. I wouldn't imagine it would be too difficult to play, though I'm not sure how easily you'd be able to hold a sideways wiimote.
Super Paper Mario*****-Another game where you don't need the nunchuck and can instead rely on holding the controller 'nes' style. Once more I'm not sure how easy it is to keep your hand steady while doing this.
Wii Play (no stars deserved)-You only need the nunchuck for a single game, tanks, which is the only decent game in the package. Stay away from Wii Play, spend $10 more on a second controller and a nunchuck. Well, maybe not if you can't use the nunchuck. Just go for the standard wiimote then.
Pokemon Battle Revolution (no stars deserved)-You can play this with only the wiimote as well. But don't. I got this game for free, and I still feel cheated.
Metroid Prime 3******-I love this game, and you won't. You need the nunchuck to move, lock on, and go in morph ball mode, so you're not getting anywhere. Maybe you and a friend could do a collaborative playthrough, we're you aim and he moves, but I'm thinking you probably have better things to do with friends.