Here is the full list of all 37 Spyro the Dragon trophies - there are 16 bronze, 17 silver, 3 gold and 1 platinum.
Get Gnasty Gnorc to complete 5 laps
Defeat 4 Nightmare Beasts in one glide
Charge through 4 Puffer Birds in a row
Charge through 3 Armored Fools in a row
Free a trapped Chicken
Defeat hidden Egg Thief in Wizard Peak
Collect 400 gems in Blowhard
Defeat all Metalback Spiders
Detonate 3 explosive chests on the pillars in Alpine Ridge
Unlock the strong chest in Doctor Shemp
Flame every Vulture in Cliff Town
Defeat all three Ski Gnorcs
Take a trip with a Balloonist
Flame 10 sheep in Stone Hill
Glide to secret Egg Thief area in Town Square
Find the hidden entrance to Sunny Flight
Collect all Spyro the Dragon Trophies
Light the two bonfires in Dark Hollow
Do a loop around an arch
Defeat Toasty without getting hit by him
Use a cannon to dispatch a taunting Gnorc
Charge a Vulture
Flame all Fairies in Night Flight
Charge through 4 Armored Druids near the start of Magic Crafters
Flame all Fairies in Crystal Flight
Flame 5 Glowing Mushrooms in Beast Makers
Light 3 fireworks within 15 seconds
Jump off every Supercharge ramp in Tree Tops
Complete Wild Flight without touching the ground
Collect 500 gems in Metalhead
Defeat 3 Demon Dogs in large form
Defeat all Tin Soldiers
Complete Icy Flight without touching the ground
Unlock Gnasty's Loot
Complete Gnorc Cove without killing any Rats
Destroy 6 gears in Twilight Harbor
Collect all gems in Gnasty's Loot