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