Here is the full list of all 48 Crash Team Racing Nitro-Fueled trophies - there are 35 bronze, 10 silver, 2 gold and 1 platinum.
Earn all the other trophies.
Win your first race in the Adventure Mode.
Win against Ripper Roo in the Adventure Mode.
Win against Papu Papu in the Adventure Mode.
Win against Komodo Joe in the Adventure Mode.
Win against PinStripe in the Adventure Mode.
Win against Nitros Oxide in the Adventure Mode.
Defeat Nitros Oxide in the Adventure Mode once and for all.
Complete a Crystal Challenge in the Adventure Mode.
Win a CTR challenge in the Adventure Mode.
Win a Relic Race in the Adventure Mode.
Win a Cup Race in the Adventure Mode.
Earn all the Relics in the Adventure Mode.
Earn all the Gems in the Adventure Mode.
Earn all the CTR Tokens in the Adventure Mode.
Win a race with less than 0.3 seconds between you and the second place.
Hit two opponents with a single Bowling Bomb.
Do a Super Boost.
Win a boss challenge without getting hit by any of the boss' Power-Ups.
Drift 15 Times in a row during a race.
Successfully use all three Turbo Boost charges 5 times in a row during a race.
Drift Boost a total of 500 times.
Complete the Adventure Mode on the Hard difficulty.
Finish first when you were last on the final lap.
Block an incoming missile with all of the following Power-Ups: Beaker, Crate, Bowling Bomb.
Beat all of Nefarious Tropy's times in Time Trial Mode.
Beat all of Nitros Oxide's times in Time Trial Mode.
Win a race without using any Power-Ups.
Finish first on all tracks. (CTR & CNK)
Successfully land all three missiles from a Triple Missile Power-Up.
Use every Power-Up once. (Race & Battle Arena)
Use the shortcut in Cortex Castle.
Use the shortcut in Polar Pass.
Use all of Blizzard Bluff's shortcuts in the same race.
Use all of Papu's Pyramid's shortcuts in the same race.
Use the shortcut in Crash Cove.
Use the shortcut in Sewer Speedway.
Use the shortcut in Tiger Temple.
Use the shortcut in Dragon Mines without being crushed.
Earn all the shortcut trophies.
Use all Juiced Up Power-Ups once. (Race & Battle Arena)
Sustain your boost for a whole lap.
Win a match in every type of Battle Mode.
Free yourself from a TNT crate.
Directly hit an opponent with a thrown Beaker Power-Up.
Customize your ride.
Unlock all characters from the original roster.
Complete all Crystal Challenges. (CTR & CNK)