Here is the full list of all 42 Can't Drive This (EU) trophies - there are 29 bronze, 9 silver, 3 gold and 1 platinum.
Unlock every trophy except for this trophy, which is unlocked with the last of the other trophies.
Play any game with 3 players
Play any game with 4 players
Explode your vehicle, and be revived
Explode your vehicle, and be revived ten times
Explode your vehicle, and be revived fifty times
Revive another driver
Revive ten drivers
Revive fifty drivers
Stay inside the danger zone for 30 seconds total
Stay inside the danger zone for 10 minutes total
Drive at top speed, for 5 seconds straight
Play online. Once.
Explode because you're driving too slow.
Leave the field and die tryin'.
Play ten rounds in any mode.
Play a hundred rounds in any mode.
Pick up a holo
Pick up 25 holos
Pick up 100 holos
Crash into 100 cardboard box stacks
Build at least 20 Street Tiles, and have a driver miss not a single one.
Customize your vehicle
Customize your vehicle with all slots filled
Customize your street
Unlock all vehicle paint jobs
Unlock all noses
Unlock all hats
Unlock all spoilers
Collect half of all customization items
Collect all customization items
Now you look like a quality show-pig!
Jump through 50 fire rings.
Build 151 Street Tiles
Place a tile under a falling driver, just in time, 10 times.
Get 50 Close Calls as the builder.
100 Close Calls. And, yeah we made three trophies just for that joke.
Rotate a Street tile before placing it.
Unlock all asphalts
Unlock all street tile paint jobs
Unlock all vehicle patterns
Watch all tutorial videos, nerd.