Index of items
This is an accurate and up-to-date listing of all the magic items, spells, etc., significant to the Story. I could be missing a few things.

Number of dragons slain 6

Named dragons slain
Mulmirnir

Shouts Gained
Aura Whisper Two words learned, one unlocked
Laas Yah

Become Ethereal Two words learned no words usable
Feim Zii

Disarm One word unlocked.
Zun Haal

Drain Vitality, one word unlocked.
Gaan

Fire Breath No words usable yet
Yol

Kyne's Peace, no word unlocked
Kaan

Marked for Death two words known one word unlocked
Krii Lun

Whirlwind sprint One word unlocked
Wuld

Unrelenting Force Full shout unlocked  
Fus Ro Dah

Artifacts gained
Hover Boots (grants slow fall, muffle, water-walking does not trigger pressure plates. )

Megaton Hammer
grants extra damage to Dragons, the custom effect of allowing one to knock down barred doors and walls.

Awakened Master sword
Damages Magika reserves
Sun damage
Extra damage to undead
Light of evil's bane
Allows limited detection of pieces of the Triforce General direction when within a thousand feet.

Fairy Bow

Recovered and traded the Dragonbone Cuirass for three sets of Ebony spell night armor and one complete Medium Dragon Carved armor set. And four Rings of Vitality.

Hero's armor set
Zora's tunic and cap

Farore's Emerald
Grants Farore's Wind Recall spell.

Din's Ruby
Grants master-level fireball centered on self.

Nayru's Sapphire
GRant's Nayru's Love grants Mage Armor, spell absorption, and spell reflection effects.

Kokiri's Sword (Dagger) carried by Russell Wolfhart

Magic gained
Saria's Song (Spell requires an Ocarina)

Triforce pieces discovered

Triforce of Courage pieces
Shard 4 of 24
Falkreath secret Grotto.

Triforce of Wisdom
Shard 16 of 24
Found on Eldersblood Peak

Triforce of Emotion
Fragment Note 2 of 24
Falkreath Secret Grotto.