Sword- Link's sword, unlike in Ocarina of Time, Link starts out with it.  As you might notice, this is neither the Master, Big goron, or Deku sword, it is one of a kind.  It has no inscriptions on it, so it cannot be from a Hyrule region. 

Double Fisted Sword- This is an upgrade of Link's original sword.  It has two blades so it must be a lot stronger than it's proceeder.  Once again, no signs of a Hyrule-related origin. 

Shield- A different shield from Ocarina of Time, but has the sign of the Triforce as you can see.  Link starts the game with this shield so he must have done a little shopping before he encountered the Skull Kid. 

Golden Hookshot- Everyone's favorite weapon is returning to this new installment. Something must be special about it though, because it appears to be golden. I wouldn't be surprised if it has an advantage over the original hookshot. 

Bow & Arrow- A legendary weapon from the Zelda series.  It shoots strong and powerful arrows from its hand-crafted Hyrulian body. 

Fire Arrow- This arrow requires magic.  It sets the object that it is aimed at on fire. 

Ice Arrow-  This frozen arrow also requires magic for use.  It freezes anything it touches.