There are 51 Trophies that can be collected.

BRONZE

Squeak
Smash a pig

Sniper
Smash a distant pig with a direct hit

Bacon
Smash 1000 pigs

You are a Star
Get 3 stars in any level

Tiny Eagle
Get 100% Eagle score in 5 levels

Completed Poached Eggs
Complete Classic Episode 1 (without the Mighty Eagle)

Completed Mighty Hoax
Complete Classic Episode 2 (without the Mighty Eagle)

Completed Danger Above
Complete Classic Episode 3 (without the Mighty Eagle)

Completed The Big Setup
Complete Classic Episode 4 (without the Mighty Eagle)

Completed Ham'Em High
Complete Classic Episode 5 (without the Mighty Eagle)

Completed Mine and Dine
Complete Classic Episode 6 (without the Mighty Eagle)

Completed Trick or Treat
Complete Seasons Episode 1 (without the Mighty Eagle)

Completed Season's Greedings
Complete Seasons Episode 2 (without the Mighty Eagle)

Completed Hogs and Kisses
Complete Seasons Episode 3 (without the Mighty Eagle)

Completed Go Green, Get Lucky
Complete Seasons Episode 4 (without the Mighty Eagle)

Completed Easter Eggs
Complete Seasons Episode 5 (without the Mighty Eagle)

Completed Summer Pignic
Complete Seasons Episode 6 (without the Mighty Eagle)

Completed Mooncake Festival
Complete Seasons Episode 7 (without the Mighty Eagle)

Completed Smugglers' Den
Complete Rio Episode 1 (without the Mighty Eagle)

Completed Jungle Escape
Complete Rio Episode 2 (without the Mighty Eagle)

Completed Beach Volley
Complete Rio Episode 3 (without the Mighty Eagle)

Completed Carnival Upheaval
Complete Rio Episode 4 (without the Mighty Eagle)

Completed Airfield Chase
Complete Rio Episode 5 (without the Mighty Eagle)

Completed Smugglers' Plane
Complete Rio Episode 6 (without the Mighty Eagle)

Block Breaker
Smash 5000 blocks

Woodpecker
Smash 5000 Wooden Blocks

Gravel Factory
Smash 5000 Stone Blocks

Icebreaker
Smash 5000 Ice Blocks

Egg Hunter
Unlock 5 Golden Egg levels

Egg Guru
Complete 10 Golden Egg levels

Splash of Flavour
Collect 10 Rio fruits

Blockpocalypse
Smash 50 blocks with the first bird (before launching another bird)

Squawkward
Launch 10 birds backwards

Wright Flyer
Make a bird fly 200 meters

Spirit of St. Louis
Send birds flying 100 km

Hyperefficient
Finish a level with a single bird

Pig-friendly
Fail a level 10 consecutive times

Scramble
Have 5 different birds in play at one time

SILVER

Stardust
Collect 500 stars

You are a Superstar
Get 3 stars in all levels in an episode

Mighty Eagle
Get 100% Eagle score in every single level

Block Annihilator
Smash 100,000 blocks

Pointastic
Get 10,000,000 total points

Egg Collector
Unlock all Golden Egg levels

Egg Master
Complete all Golden Egg levels

River of Flavour
Collect all Rio fruits

Voyager
Launch 5000 birds

Supper-Effective
Clear out a level completely (without the Mighty Eagle)

GOLD

You are Elvis
Get 3 stars in every single level

Worldwide Angry Bird
Complete all Episodes (without the Mighty Eagle)

PLATINUM

Angriest Birdiest
Get all Trophies

http://www.ps3trophies.org/game/angry-birds-trilogy/trophies/