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