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.
You made a katamari over 2,000,000km!
Played through VS Battle or Co-op 30 times.
Destroyed the katamari 50 times before completing a Request.
Punished over 50 times.
Played through all mini-games.
Collected all Presents.
Rolled up all Cousins.
Completed all Requests in Classic Katamari mode.
Created 200 katamaris.
Turned 50 katamaris into dust.
Completed all Requests in Eternal mode.
Obtained 50,000 points in the punishment mini-game.
Turned a katamari into stardust.
Viewed the Network Rankings 5 times.
Completed all Requests in Katamari Drive mode.
Rolled up 30 Cousins.
Collected 30 Presents.
Performed the Quick Turn exactly 5 times before completing a Request.
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.
Rolled up 7,650 objects before completing a Request.
Created a katamari over 500m.
Viewed a photo in the Photo Album.
Watched 5 movies in a row in Movies.
Listened to 5 songs in Music.
Performed the Dash exactly 6 times before completing a Request.
Performed the Prince Hop exactly 7 times before completing a Request.
Completed a Request.