There are 25 Trophies that can be collected.

Bronze

Beginner
Complete a Career Mode event

Speedster
Win your first Time Attack event, in Career Mode or Single Event (Regulation rules)

Endurer
Win your first Endurance event, in Career Mode or Single Event (Regulation rules)

Duelist
Destroy an opponent's car in a Duel, in Career Mode or Single Event

Saboteur
Destroy an opponent's car as the Chicken Bomb in a Multiplayer Survival event

Traveler
Complete an online Multiplayer event

Homebody
Complete a local Multiplayer event

Tinkerer
Build a new vehicle in the Garage

Silver

Rookie Champ
Complete Career Mode by playing all events on Rookie difficulty or higher

Collector
Build all vehicles in the Garage

Explorer
Discover and successfully traverse an Expert Shortcut

Marathoner
Complete a 50 lap Endurance event

Boxer
Achieve a 10x Ram Combo

Strategist
Win a Single Event Race (Regulation rules), without using the Pitstop

Rascal
Use every Gotcha to successfully strike at Bot opponents

Achiever
Earn all Badges in a Single Event Race (Regulation rules)

Comeback Kid!
Win a Single Event Race (Regulation rules) by climbing from last to first place in the final lap

Advocate
Win an online Ranked event playing as Jimmie Johnson

Gold

Pro Champ
Complete Career Mode by playing all events on Pro difficulty or higher

All-Star Champ
Complete Career Mode by playing all events on All-Star difficulty

Enthusiast
Complete 50 Events in Single Event mode (Regulation Rules)

Renegade
Renegade Discover and traverse all Expert Shortcuts successfully

Sprinter
Beat all Time Attack Events on All-Star difficulty in Single Event Mode (Regulation rules)

Pacifist
Win a Duel without using any weapons in Career mode or Single Event (Regulation Rules)

Platinum

Platinum
Collect all Jimmie Johnson's AWAE trophies

http://www.ps3trophies.com/forums/ps3-trophy-news/5857-jimmie-johnsons-anything-engine-trophy-list.html