There are 48 Trophies that can be collected.

BRONZE

Head Shot
Kill an enemy with a single shot to the head

One Shot Kills
Successfully kill an enemy with one shot

Multi-Kill
Perform a multi-kill with a melee weapon

Multi-kill with a grenade
Perform a multi-kill with a grenade

First Kill
Successfully complete your first kill of an opposing team member in Multiplayer

Roadhouse
Kill 3 members of the opposing team with a melee attack before you die in Multiplayer

It's All Greek To Me
Complete the "It's All Greek To Me" level

Something's Amish
Complete the "Something's Amish" level

Handicapable
Complete the "Handicapable" level

Pussy Whipped
Complete the "Pussy Whipped" level

No Cheese, Please
Complete the "No Cheese, Please" level

Long John Peter
Complete the "Long John Peter" level

Santa's Sweatshop
Complete the "Santa's Sweatshop" level

Chickens In Space
Complete the "Chickens In Space" level

Chicken Fight!
Complete the "Chicken Fight!" level

We Be Clubbing
Defeat 10 enemies with a melee weapon

Lockdown
Shut out the other team from scoring in Capture the Greased-Up Deaf Guy

Mr. Unpopular
Choose Meg for a Multiplayer match

Teabaggin'
Taunt 25 times in any Multiplayer match

IEDead
Kill 60 enemies with grenades/explosives

Help From My Friends
Use the collectible special inventory items 25 times in Story Mode

Boom Headshot
Kill 75 enemies with headshots

Bipolar
Switch between Brian and Stewie 10 times in Story Mode

Shut Up Meg
Kill Meg during any Multiplayer match

Scorched Earth
Burn the pot fields in "Something's Amish" level

How Do I Jump?
Kill yourself with a grenade or satchel charge

Kings of Quahog
Win a Deathmatch mode (free-for-all or as a team)

Bestest Infiltrator
Win an Infiltration map

Grease Can't Save You Now
Win a Capture the "Greased-Up Deaf Guy" match

Teabag a D-bag
Taunt a dead opponent with Quagmire in Multiplayer

Little Dipper
Earn 10 stars in Challenge mode

Bird is the Word
Taunt 5 times in a row with Peter

Ugly Tastes Terrible
Play poorly during the final showdown

Bunch of Chumps
Survive 15 waves in Multiverse Madness

Wrecking Ball
Smash your opponent into something 20 times in the "Chicken Fight!" level

Pervert
Hang around the room with Quagmire in a baby costume for 30 seconds

Employee of the Month
Kill Vernon

Day Labor
Destroy all of the pinatas in the "It's All Greek To Me" level

SILVER

Penny Pincher
Collect $50,000 in Story Mode

The Cleaner
Get a 10 kill streak in Deathmatch

Mort Will Now Lend You Credit
Buy everything available in Store

Stewie-nator
Kill 500 enemies using Stewie

Justified
Kill 500 enemies using Brian

Big Dipper
Earn 21 stars in Challenge mode

Cartoon Apocalypse
Survive 30 waves in Multiverse Madness

GOLD

No Place Like Home
Complete the "No Place Like Home" level

Obsessed
Complete all secondary objectives

PLATINUM

There is no Cake
Unlock all other trophies

http://www.ps3trophies.com/forums/playstation-trophy-news/26008-family-guy-back-multiverse-trophy-list.html