Here is the full list of all 51 BandFuse: Rock Legends trophies - there are 42 bronze, 5 silver, 3 gold and 1 platinum.
Get a 200 note streak on any instrument
Complete the "Metal Havoc" Tour
Complete the "Face Melters" Tour
As a guitarist, score 5 stars on any song at Difficulty Level 5
Complete the "Punk's Not Dead" Tour
Complete the "Bleeding Fingers" Tour
Complete the "Smokin' Riffs" Tour
Get 100,000 Fans to unlock the Platinum Fan Trophy
Play songs in 5 different tunings
Complete 10 Challenges in the game
Complete the "Alter Native" Tour
Complete the "Air Pollution" Tour
Get 10,000 Fans to unlock the Gold Fan Trophy
Create and save a custom tone
Save a Playback
Score 5 stars on any difficulty while playing with at least one other player
Complete the "Opening Act" Tour
Get 1,000 Fans to unlock the Silver Fan Trophy
Complete a Challenge in the game
Complete a Concert
Play songs in 3 different tunings
Get a 100 note streak on any instrument
As a guitarist, score 5 Stars on any song at any difficulty
Complete a Shred U Lick Lab phrase at 110% or 5x
Complete the initial setup
Obtain all trophies
Complete every item and watch every video in Shred U: Introduction
Complete every item and watch every video in Shred U: Easy Skills
Complete every item and watch every video in Shred U: Medium Skills
Complete every item and watch every video in Shred U: Hard Skills
Complete every item and watch every video in Shred U: Expert Skills
Complete all phrases to at least 100% for any song in Lick Lab
As a guitarist, complete all phrases for "Hangar 18" at 5X setting in Lick Lab
As a bassist, score 5 stars on any song at any difficulty
As a vocalist, score 5 stars on any song at any difficulty
Score 5 stars on any same song as a guitarist, bassist, and vocalist
As a bassist, score 5 stars on any song at Difficulty Level 5
As a vocalist, score 5 stars on any song at Difficulty Level 5
Score 5 stars on any song at any difficulty with 3 other players
Complete a song on PRO mode with at least 80% accuracy
Play along with a backing track
Play along with 25 backing tracks
Get a 300 note streak on any instrument
Play 55 unique songs at any difficulty
Score 5 stars on 55 unique songs on difficulty level 5
Complete the "Behemoths of Rock" Tour
Complete the "Venomous Licks" Tour
Complete 10 Tours on any difficulty
Get 500,000 Fans to unlock the Diamond Fan Trophy
Earn $5,000,000 in your career
Complete 25 Challenges in the game