Here is the full list of all 16 BIT.TRIP Presents... Runner2: Future Legend of Rhythm Alien (Physical) trophies - there are 15 bronze and 1 gold.
Get a Triple Perfect+ in Every Level
Beat All Levels on Hard
Complete all 90 Rewards
Complete World 5
Get One Perfect Run in Each Level
Get Three Triple Perfects in Each World
Get Two Double Perfects in Each World
Get One Perfect+ in Each World
Complete World 4
Complete World 3
Complete World 2
Complete 60 Rewards
Dance 100 Times
Complete World 1
Unlock a New Character
Complete 30 Rewards