Here is the full list of all 45 LittleBigPlanet Karting trophies - there are 34 bronze, 6 silver, 4 gold and 1 platinum.
Earn all the LittleBigPlanet™ Karting trophies to unlock this platinum trophy
Defend against 30 attacks from opponents in any level
Star every level in the Story mode
Complete the main path of Story mode
Complete the main path of The Space Bass
Star every 'finale' level in the main story
Hit 50 Hoard minions in Story mode with any weapon
Complete the main path of Eve's Asylum
Complete the main path of The Progress Emporium
Complete the main path of Victoria's Laboratory
Complete the main path of Monster Islands
Complete the main path of LittleBigPlanet™
Accumulate a 5x score multiplier in a Story level
Watch all of the creation tutorials from start to finish
Complete all the tutorials on the first planet, LittleBigPlanet™
Complete 100 community levels
Dive into 25 community levels and complete those levels
Place 1st in 25 different online levels with other human players
Complete 25 community levels
Star a planet in Story mode
Complete the main path of Hoard, Sweet Hoard
Achieve a 5 hit streak in any Story battle level
Drift non-stop for 10 seconds without stopping in any racing Story level
Create a custom weapon in Create mode
Create a custom object inside one of your levels
Completely populate your profile page
Complete a level with less than 5 playthroughs and leave a review
Complete a level in Team Picks
Beat a score posted by a friend on any community level
Complete a level a friend has written a review for
Play any level in your Recent Activity
Slap an opponent on any level
Upload a photo taken from any level
Chain three different grapples without touching the ground
Create three cooperative levels and three versus levels
Host a playgroup with three other players in your Pod
Change your ride
Change your costume
Add a level to your queue
Publish a level and have 10 different players complete the level
Create a personalized planet
Spend 24 active hours in Create mode
Create a custom pod
Build and save any level created in Create mode
Spend 30 minutes in Create Mode