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