There are 12 Trophies that can be collected.

BRONZE

Armed and dangerous!
Get the missiles from the shop! "Now's the time to strike back!"

Weapon Collector
Collect 8 weapons! "You got a full armoury!"

Fashion victim!
Have at least 10 face customisations. "Wow! All these fancy things!"

Pimp that wheel!
Get at least 5 wheel customisations. "You can ride for hours!"

Island master!
Open a gift sent from the Island "When you're the Boss, you have 365 birthdays."

Good Santa!
Find a secret gift. "You are gifted, sir!"

SILVER

JACKPOT!!
Win the $10,000 jackpot on the slot machines. "You won the Grand Prize!"

Not a chicken!
Clear 10 secondary missions. "You mission freak!"

Bug tracker!
Kill 500 bugs in the game! "Thanks for your help!"

GOLD

Superior Completion Skillz!
Finish the game! "Congratulations! Thanks for your hard work!"

2 SECRET

http://www.ps3trophies.org/game/hell-yeah-wrath-of-the-dead-rabbit/trophies/