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