Here is the full list of all 44 Monster Jam: Path of Destruction trophies - there are 29 bronze, 11 silver, 3 gold and 1 platinum.
Unlock all other trophies
Pass the test event
Equip an accessory on a monster truck
Win a gold medal in 1 Circuit Racing event
Win a gold medal in 1 Stadium Racing event
Win a gold medal in 1 Freestyle event
Win a gold medal in 1 Time Crunch event
Win a gold medal in 1 Team Racing event
Win a gold medal in 1 Gate Rush event
Win a gold medal in 1 Stunt Challenge event
Customize more than 5 monster trucks
Reach level 5
Reach level 10
Reach level 15
Reach level 20
Win a gold medal in 3 events in a row
Defeat any two champion monster trucks in their home event
Perform 200 Big Saves in total
Win a gold medal in 5 different events on hard difficulty
Perform 100 Donut or Cyclone stunts in total
Perform 50 Flat Spin or Barrel Roll stunts in total
Perform 50 Wheelie, Slap Wheelie or Stoppie stunts in total
Perform 25 Front or Back Flip stunts in total
Win a gold medal in at least 1 event in each stadium
Win a gold medal in every event of 1 stadium
Lose 2 wheels of a monster truck in an event
Destroy 250 obstacles in the game
Perform 10 types of stunts in one event
Win a gold medal in 20 events
Destroy 500 obstacles in the game
Earn 9,000 xp in a single event
Win gold medals in 20 different events on hard difficulty
Win a gold medal in 1 Racing event with the lead less than 0.5 seconds
Win a gold medal in 1 Freestyle event with a score higher than 40
Finish a Freestyle event with a wheel detached and win
Unlock all Advance Auto Parts performance upgrades
Cross the finish line with a wheel detached and win the race
Win both the Southern and Western National Tour
Fully customize one monster truck: place an accessory, vinyl or decal in every area
Attend 20 events in a row without changing the monster truck
Defeat all 8 champion monster trucks once in their home event
Win all National Tours
Collect all monster trucks, accessories, upgrades and decals
Win a gold medal in all events