There are 51 Trophies that can be collected.

BRONZE

First Steps
Take part in your first Career or Season Race.

Treat Yourself
Purchase an item from the Reward Store.

Passing The Time
Flip the Track Pass 500 times during loading.

Draft Dodger
Draft a total of 1000 yards in a race.

Newbie
Take part in your first Public Online Race.

Upgrade Complete
Purchase your first upgrade.

Speed Star
Win your first Superspeedway track race in Career or Season Mode.

Startin' on Pole
Qualify on pole for the first time in Career or Season Mode.

Miles Away
Win your first Intermediate track race in Career or Season Mode.

Chase Champion
Win the Sprint Cup in Chase Mode.

Short & Sweet
Win your first Short track race in Career or Season Mode.

Van Gogh
Create a custom paint scheme.

Turn Right?
Win your first Road Course race in Career or Season Mode.

Last Man Standing
Win an Eliminator Invitational event.

Snap Happy
Take a picture in any Photo Mode.

Mano a Mano
Win a Driver Duel Invitational event.

Taking Care Of Business
Sign a sponsor to each location on the car.

Clock Watcher
Earn Gold at a Thunderlap Invitational event.

Action Shot
Take a picture of your car with all four wheels off the track.

Long Road Back
Win a Public Online Race after qualifying last.

Consistent
Win a Gauntlet Invitational event.

Brainiac
Answer 150 trivia questions correctly.

Director
Save a replay of a race.

Gear Head
Create your own custom setup.

Lap It Up
Lap an opponent in a Public Online Race.

Serious
Win a race with no assists.

Hustler
Win a Public Online Race after passing 5 cars on the last lap.

Slippery
Complete a race without touching another car.

Gambler
Run out of fuel and coast into pit road.

SILVER

1%'er
Earn a total of 1,000,000Cr.

Day At The Beach
Win the Daytona 500.

In The Chase
Make the Chase.

Challenging
Complete a Head to Head Challenge.

Season Champion
Win the Sprint Cup in Single Season Mode.

Trend Setter
Finish a race with the fastest lap 100 times.

Contender
Win your first Public Online Race.

Maxed Out!
Fully upgrade your Career Car.

Collector
Purchase everything in the Reward Store.

The King
Win the Sprint Cup in Career Mode while playing on Champion difficulty.

Perfect Day
Qualify in pole, lead all laps, win the race.

Photo Finish
Win an offline race by less than 0.02 seconds.

Challenger
Complete an Inside Line Highlight Challenge.

Challenge Complete
Complete all the Inside Line Highlight Challenges.

GOLD

Champion
Win the Sprint Cup in Career Mode.

6 SECRET

BRONZE

The Intimidator
Spin out an opponent.

Ironman
Take part in 250 Public Online Races.

Shake & Bake
Slingshot to victory in the final straight.

Pass in the Grass
Win a race after overtaking on grass.

Polish Victory Lap
Complete a victory lap driving the opposite direction around the track.

SILVER

Too Much!
Win the race after crossing the finishing line backwards.

http://www.ps3trophies.org/game/nascar-the-game-inside-line/trophies/