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