There are 38 trophies that can be collected.

Bronze

One Band
Play a full setlist in Unite the Clans mode.

One With The Clans
Earn 300 total seals over the course of Unite The Clans

Unite The Rebels
In Unite the Clans, earn 5 seals in all songs of a three-song gig using Rockers from all three clans at once

Find Your Mojo
Fire a Mojo power as each character.

Endurance Of The Skins
Get a streak of 200 on drums.

Endurance Of The Axe
Get a streak of 200 on guitar.

Endurance Of The Voice
Get a streak of 100 on vocals.

Technician
Complete a song with 75% accuracy or greater with any instrument.

Learn Some Skills
Play a song with Power Chords turned on.

Master Performance
Get a 5-seal performance on any song.

Power Trio
Get a 5-seal performance with three players.

Mojo Synergy
Have 2 Mojo powers active at once in co-op.

Way Of The Axe
Completed guitar tutorials.

Way Of The Skins
Completed drum tutorials.

Way Of The Voice
Completed vocals tutorials.

Silver

Whole Lotta Mojo
Fire Mojo powers 300 times over the course of Unite The Clans

Liberator Of Ohm
Defeat the Headliner solo.

Skilled Technician
Complete a song with 100% accuracy on Virtuoso or Legend Difficulty on guitar, drums, or vocals.

Love That Tune
Play Any Song more than 10 Times.

Virtuoso Performance
Get a 5-seal performance on all 3 songs of a setlist.

Tearin’ Up The Subway
Get Maximum Mojomorphosis at Rothchild Station.

Merry Go Round And Round
Get Maximum Mojomorphosis at Tilt.

Harvesting The Garden
Get Maximum Mojomorphosis at The Grove.

Igniting The Flame
Get Maximum Mojomorphosis at Riffslide Alley.

Noise Pollution
Get Maximum Mojomorphosis at Axeworks.

Total Enlightenment
Get Maximum Mojomorphosis at Sanctuary.

Crafty Carrier
Get Maximum Mojomorphosis at The Heap

Stickin’ It To The Man
Get Maximum Mojomorphosis at Skyway 61.

Synergizers
Get 7 mojo synergies in one song in co-op.

Combo Mastery
Get 10 band streak bonuses in a single song in co-op.

Three’s A Crowd
Play 10 songs with a full band.

Gold

Swift Victory
Complete all of Unite the Clans solo, playing only 80 songs

Perfectionist
Get 100% of the notes 'perfect' in any song.

Power Chord Master
Hit every Power Chord in any song.

Platinum

Hero of Ohm
Earn all other trophies

3 Secret

http://www.ps3trophies.org/game/power-gig-rise-of-the-sixstring/trophies/