Here is the full list of all 48 Start the Party! trophies - there are 32 bronze, 13 silver, 2 gold and 1 platinum.
Collect all other trophies for Start the Party!™
Pop a colour chain of 70+ fish in Poppin' on Hard difficulty
One player wins 3 rounds in a row in Party Mode
Get to the top of the leader board in Survival Mode
Play 20 games of Survival
Play 10 games of Party Mode
Play all the Party Games, on all difficulties in Free Play
Steal enough stars in the Robber Round to get from last to first place
Get the bonus item in every Party game
Take 100 different player portrait photos
Play all the Party Games in Free Play
Play all the games in Start the Party!™
Earn 20 stars in a single Party session
Get every bonus object within a single Party Mode play session
Survive for 2 minutes
Survive for 1 minute 30 seconds
Earn 15 stars in a single Party session
Survive for 1 minute
Survive for 30 seconds
Steal 5 stars in one turn in the Robber Round
View the credits
Play a game of Start the Party!™ (any game mode) on Christmas Day
Play a game of Start the Party!™ (any game mode) between 12 o'clock and 1 o'clock at night
Steal the last star from someone in the Robber Round, reducing their star count to 0
Pop a colour chain of 20+ fish
Waft 12 paratroopers to safety
Swat 50 bugs in one game
Rescue 3 people just before the monster eats them
Shoot down 6 ghosts on their way to scaring you
Use 5 litres of paint within the templates in one game
Smash a Piñata in less than 5 seconds
Zap 15+ robots in one game
Use 5 litres of hair dye in one game
Save 30+ chicks in one game
Draw on a player’s face
Re-record someone's name
Survive 20 seconds with a perfect lolly
Sshhh, don't disturb the chick!
Find the 5 bugs in less than 5 seconds
Surrender to 8 angry mobsters
Clean all the crocodile's teeth
Completely smash a rock in less than 3 seconds
Munch 5 bugs in one game
Match 5 characters in one game
Catch 10 pizza toppings in one game, during a Three Strikes round
Bounce an object 10 times without dropping it, during a Three Strikes round
Slice 40 pieces of fruit during a Three Strikes Round
Hit 8 moles in a single game