Here is the full list of all 33 Katamari Forever trophies - there are 20 bronze, 6 silver, 6 gold and 1 platinum.
Collected all trophies.
Completed 100% of the Collection.
Destroyed the katamari 50 times before completing a Request.
Collected all Presents.
You made a katamari over 2,000,000km!
Punished over 50 times.
Played through all mini-games.
Completed all Requests in Classic Katamari mode.
Played through VS Battle or Co-op 30 times.
Rolled up all Cousins.
Completed all Requests in Eternal mode.
Created 200 katamaris.
Collected 30 Presents.
Turned 50 katamaris into dust.
Completed all Requests in Katamari Drive mode.
Rolled up 30 Cousins.
Played through 50 single player Requests in a row.
Obtained 50,000 points in the ending mini-game.
Completed all Requests in Katamari Forever mode.
Completed 80% of the Collection.
Created a katamari over 10,000km.
Viewed the Network Rankings 5 times.
Performed the Dash exactly 6 times before completing a Request.
Performed the Prince Hop exactly 7 times before completing a Request.
Obtained 50,000 points in the punishment mini-game.
Rolled up 7,650 objects before completing a Request.
Created a katamari over 500m.
Watched 5 movies in a row in Movies.
Viewed a photo in the Photo Album.
Listened to 5 songs in Music.
Performed the Quick Turn exactly 5 times before completing a Request.
Turned a katamari into stardust.
Completed a Request.