There are 30 Trophies that can be collected.

GOLD

Grand Master of TUNE
DJ LEVEL 99 ACHIEVED

PLATINUM

The DJMAX
ALL TROPHIES ACQUIRED

28 SECRET

BRONZE

Repeat Learning
COMPLETED TUTORIAL 5 TIMES

Need More Practice
CLUB MIXING SET FAILED

Get A Grade F in TUNE
CLEARED WITH F RANK

M/V Player
VIEWED 20 OR MORE M/V IN ALBUM MODE

Failed…Failed…Failed!!
3 CONSECUTIVE GAME OVERS

Break!
BREAK 1 CLEAR

Change!
NOTE SKIN CHANGED 20 OR MORE

Confidence
DIFFICULTY HARD GAME START

Music Player
LISTENED TO 30 OR MORE OST IN ALBUM MODE

Let's Combo
100 COMBO ACHIEVED

Never Ending TUNE
PLAY COUNT 100 ACHIEVED

Let's Collect
IMAGE GALLERY 10% ACHIEVED

Club House
CLUB MIXING CLEARED

Pop Corn
POP MIXING CLEARED

First Step
STAR MIXING CLEARED

The Beginning
DJ LEVEL 2 ACHIEVED

SILVER

Popping Like
S+ OVERALL RANKING IN POP MIXING

Twinkle Twinkle
S++ OVERALL RANKING IN STAR MIXING

MAX Concentration
PERFECT PLAY ACHIEVED

Graduation
ALL COMBO ACHIEVED

Berserker
CLEARED WITH 10% GROOVE METER GAUGE

Half
DJ LEVEL 50 ACHIEVED

Gate of Abyss
DARK ABYSS SET UNLOCKED IN CLUB MIXING

GOLD

TUNE Lover
PLAY COUNT 1000 ACHIEVED

TUNE Conqueror
ALL PATTERNS CLEARED FOR ALL SONGS

Owner of TUNE Gallery
IMAGE GALLERY 100% ACHIEVED

MAX Chain
99999 COMBO ACHIEVED

In Da Club
S+ OVERALL PLAY RESULTS IN CLUB MIXING ACHIEVED

http://www.ps3trophies.org/game/dj-max-technika-tune/trophies/