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