Here is the full list of all 21 Rock of the Dead trophies - there are 21 bronze.
Finish the game and get the good ending.
Complete a level with 100% accuracy.
Finish the game and get the evil ending.
Defeat the Spider Boss.
Destroy the Transport Boss.
Defeat the Ant Lion Boss.
Fully upgrade your shield or blast attack.
Defeat the UFO Boss.
Defeat the Rat Boss.
Defeat the Crocodile Boss.
Complete 20 Challenges.
Defeat the Trailersaurus Boss.
Complete any level taking no damage.
Complete 10 Challenges.
Unlock all extras.
Aquire all badges on 2 levels. (Normal difficulty)
Aquire all badges on 4 levels. (Normal difficulty)
Aquire all badges on all levels. (Normal difficulty)
Aquire all badges on all levels. (Hard difficulty)
Aquire all badges on all levels. (Thrasher difficulty)
Obtain a score multiplier of 100.