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