Here is the full list of all 46 Beach Buggy Racing trophies - there are 34 bronze, 8 silver, 3 gold and 1 platinum.
All Trophies
Use Remote Control to detonate a car under the Nitro effect
Beat 7 Daily Challenges in a row
Freeze an opponent who's on fire
Score 25 in a Follow the Leader event
Earn all the stars in Tidal Rush
Earn all the stars in Pineapple Punch
Earn all the stars in Tropical Twist
Earn all the stars in Typhoon Trophy
Earn all the stars in Chowder Bowl
Earn all the stars in Sunshine Sprint
Smash 25 yeti
Smash 50 death bats
Smash 20 lava monsters
Smash 100 penguins
Smash 40 crabs
Smash 500 palm trees
Find 10 Easter Eggs
Earn over 1,000,000 coins in your career
Earn all the stars in Coconut Cup
Find 1 Easter Egg
Successfully complete the triple-jump shortcut in Death Bat Alley
Bounce off three different turtles in one river crossing in Dino Jungle
Do a jump start
Knock the penguin off the mammoth tusk in Glacier Gulch
Win five 1000 HP Championships
Beat a Daily Challenge event
Drive 9,289km
Win with a chicken on your face
Win a Race without using a Powerup
Smash 100 seagulls
Take out three drivers with one Death Bat Powerup
Use Earth Strike on an opponent who's experiencing Low Gravity
Drive 1000km
Earn all the stars in Easy Street
Win one 1000 HP Championship
Paint a car
Use B'Zorp to teleport into 1st place within 100m of the finish line
Jump 400 meters
Set fire to an opponent who's frozen
Win a 1000hp Race without resetting
Win a 1000hp Race without using the brake
Recruit 5 drivers
Knock the Tiki Temple's teeth out
Go from last to first place on the last lap of a Race
Drive 100km