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