It comes bundled with a "Wii Motion Plus", which is a "Wii Remote" with the enhanced motion tracking technology of the "Wii Motion Plus" peripheral built right into it. Plus, it's gold with the Hylian Symbol on it!
It also comes with a CD. "The Legend Of Zelda 25th Anniversary Special Orchestra CD". It's excellent.
For the record, no you cannot use the "Classic Controller", Classic Controller Pro", or the "Gamecube Controller. The game mechanics are built around swordplay and require you to swing from different directions (e.g. left to right or right to left etc...) and from different angles (e.g. lower left to upper right or upper left to lower right etc...) based on the enemy that you are facing. Enemies change their defensive posture based on how you behave (e.g. they see you lowering your sword for an upward slice, they'll place their weapon horizontally to attempt to block your attack) or (e.g. they'll see you ready your sword for a right to left swing, and they'll move their shield to their left side to deflect the blow). Some of them are pretty quick about it too

.
Also of note regarding the play control style is the use of the shield. For the first time in the Zelda franchise the shield has become a full fledged element of overall combat. It's fully integrated into the game's features. You can hold your shield up to "soak" attacks, but this will damage the shield over time. You can shield bash (with good left hand timing) as well, which has numerous benefits in addition negating damage to your shield. If you successfully "shield bash", which is done by literally throwing the nunchuk forward as if
you were actually shield bashing; it can have the following effects (that I'm currently aware of):
negate damage to your shield
repel projectiles
repel projectiles back at the enemy
deflect enemy weapon strike thereby throwing the enemy off guard for a moment (so you can dive in for the kill

)
Additionally, the different shields can be upgraded by Skyloft's resident weaponsmith. If I'm not mistaken, the Hylian Shield has an almost "Biggoron Sword-like" role in this game.
All in all, The Skyward Sword is turning out to be the uber fun Zelda goodness that I've come to love over the many years; 25 to be exact. It's the 25 anniversary of The Legend Of Zelda after all.