Here is the full list of all 14 Beat Hazard Ultra trophies - there are 11 bronze, 2 silver and 1 gold.
Complete 3 challenges
Complete 6 challenges
Complete 9 challenges
Complete 12 challenges
Complete 15 challenges
Complete 18 challenges
Complete 21 challenges
Complete 24 challenges
Complete 27 challenges
Complete 30 challenges
Complete 33 challenges
Complete 36 challenges
Complete 39 challenges
Complete all the challenges