Here is the full list of all 38 Skylanders: Spyro's Adventure trophies - there are 21 bronze, 12 silver, 4 gold and 1 platinum.
Unlock all other trophies.
Avoid being hit by the laser traps during the boss fight in the Creepy Citadel level.
Defeat Kaos' Evil minions in the Lava Lakes Railway level with only Gill Grunt's Power Hose.
In the Leviathan Lagoon level, dodge 30 sharks without being hit.
Purchase all upgrades for any one Skylander.
Defeat Kaos without swapping Skylanders during the battle.
Complete the adventure mode by finishing the game.
Complete the Arkeyan Armory level and acquire the elemental source.
Defeat 30 enemies while riding the War Machine in the Arkeyan Armory level.
Complete the Lava Lakes Railway level and acquire the elemental source.
Destroy all of the rocks in the Molekin Mine level.
Complete the Creepy Citadel level and acquire the elemental source.
Complete the Battlefield level and acquire the elemental source.
Complete the Troll Warehouse level without getting injured by the landmines.
Never use any rocket in the Falling Forest level.
In the Falling Forest level, defeat Evil Ent while more than 5 of Evil Ent's seeds are on the field.
Complete the Falling Forest level and acquire the elemental source.
Complete the Stone Town level and acquire the elemental source.
Level up any one Skylander to level 10.
Complete the Crystal Eye Castle level without being hit by any of the rolling barrels.
Collect 10 Story Scrolls.
Collect 10 Legendary Treasures.
Complete 3 Challenge levels.
Complete your first challenge level!
Get swallowed by the Leviathan 5 times in the Leviathan Lagoon level.
Complete the Leviathan Lagoon level and acquire the elemental source.
Collect 10 Soul Gems.
Complete the Stormy Stronghold level and acquire the elemental source.
Collect 10 Hats.
The first time you purchase an upgrade for your Skylander.
Get 3 stars in any one level.
Complete the Shattered Island level.
Defeat 15 Chompies in the Shattered Island level.
Have your Skylander equip a hat for the first time.
Unlock any Elemental Gate.
Open any treasure chest.
Play and complete any PvP match: win or lose.
The first time you put your Skylander on the Portal of Power.