Here is the full list of all 24 Gigantosaurus: Dino Kart trophies - there are 4 bronze, 12 silver, 7 gold and 1 platinum.
Unlock All trophies
Win 10 Races
Win the first race in single player
Unlock all characters
Unlock all tracks
Unlock all vehicle’s skins
Win a race in split-screen
Win a 4 player split-screen race
Step on a boost pad 30 time
Drift for 5 seconds in a row
Drift for 30 seconds in a race
Accumulate 10 minutes of total drift
Find a shortcut
Come across Giganto
Fly for 5 minutes totally
Use a Skill for the first time
Finish The Tutorial
Use all skills
Win The first race in adventure
Win all the adventure races in third position or better
Win all the adventure races in first position
Complete the Savannah Cup in Adventure
Complete the Jungle Cup in Adventure
Complete the Mount Oblivion Cup in Adventure