There are 12 Trophies that can be collected.

Bronze

Brick Shooter
Shoot 100 bricks with a laser, blaster or missile.

Frantic Juggler
Keep at least 3 balls on the screen at the same time for more than 8 seconds.

Power Rush
Earned when the player has caught 25 power-ups in the game.

Hoard of the Rings
Collect all 5 of the golden rings on all 10 levels of the same planet in a single game.

Silver

Power-up Zen Master

No power-ups collected for 10 levels in a row. This can carry over between planets.

Longevity
8 levels in a row player on the same planet without dying once. Cannot be earned on Easy or Kids difficulty settings.

Amazing Breath of Life
30 levels in a row played without dying once. This carries over from one Planet to the next. Cannot be earned on Easy or Kids difficulty settings.

Straight Jacket
Beat 10 different levels on the Insane difficulty setting in a single game on the same planet.

World Cup
Awarded for finishing all Ricochet HD planets.

Helping Hand
Beat 20 levels with two players at the same time in any multi-player mode.

2 Secret

http://www.ps3trophies.org/game/ricochet-hd/trophies/