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