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