Here is the full list of all 51 Guitar Hero: Smash Hits trophies - there are 38 bronze, 10 silver, 2 gold and 1 platinum.
Win a song with the rock meter in red.
Perform as the Guitarist.
Complete a song with any instrument on any difficulty in local Quickplay or Career.
Complete single player Expert Career on all instruments.
Complete all four instrument careers on any difficulty.
Complete the Career as the Drummer.
Score 2,000,000 points on the song Free Bird as a Band.
Trigger Star Power simultaneously (4 player Band).
Complete a song with all Band members on Expert (4 player Band).
Complete a song in a Band (4 players).
Complete the song Through The Fire and Flames with 4 stars or more as the Guitarist on Expert.
Download a song from GHTunes(SM).
Win 50 online matches.
Get a 100 note streak in the song Through The Fire and Flames on Hard or Higher as the Drummer.
Complete the Career as the Bassist.
Hit all Open Strum notes in the song Laid To Rest as the Bassist.
Create a new custom Band logo.
Create a custom tattoo.
Create a new custom rocker.
Create a new custom instrument.
Play 150 songs throughout your entire Career.
Play 20 online matches.
Win an online Face-Off match by 25,000 points or more.
Complete the Career as the Guitarist.
Win an online Pro Face-Off match by 25,000 points or more.
Win an online Pro Face-Off match.
Complete the Career in a Band (2-4 players).
Complete the song YYZ with 5 stars on Expert Bass.
Perform as the Bassist.
Win an online Face-Off match.
Complete the Career as the Vocalist.
Complete a song in every venue.
Play a song in the Atlantis venue.
Complete 100% on any song on Expert in single player.
Score 5 stars in a song on Expert with Lars Umlaut in single player.
Perform as the Drummer.
Complete a song on Expert + (Drums only).
Recover from a poor performance.
Complete the song Smoke On The Water as a Vocalist.
Perform as the Vocalist.
Fail a song with available Star Power in single player.
Earn all of the Bronze, Silver and Gold Trophies.
Complete the Career Tutorial.
Get 100% on a song as a Band (4 players).
Score the highest individual score in a 4 players Band.
Win a Band vs. Band match (8 players).
Score 95% or more on the song Killer Queen as the Vocalist (Expert).
Complete the song Raining Blood with 5 stars as the Drummer on Expert+.
Perfectly play the Lets Play section in the song Play With Me as a lead Guitarist on Expert.
Perfectly play the First Blood section of the song Raining Blood as the Guitarist on Expert.
Get 5 stars on the song Beast And The Harlot Expert Drums without using Star Power.