There are 40 Trophies that can be collected.

BRONZE

NEW ORDER 1-1 CLEAR
CLEAR STAGE 1-1 IN NEW ORDER MODE

NEW ORDER 1-2 CLEAR
CLEAR STAGE 1-2 IN NEW ORDER MODE

NEW ORDER 1-3 CLEAR
CLEAR STAGE 1-3 IN NEW ORDER MODE

NEW ORDER 1-4 CLEAR
CLEAR STAGE 1-4 IN NEW ORDER MODE

NEW ORDER 1-5 CLEAR
CLEAR STAGE 1-5 IN NEW ORDER MODE

NEW ORDER 2-1 CLEAR
CLEAR STAGE 2-1 IN NEW ORDER MODE

NEW ORDER 2-2 CLEAR
CLEAR STAGE 2-2 IN NEW ORDER MODE

NEW ORDER 2-3 CLEAR
CLEAR STAGE 2-3 IN NEW ORDER MODE

NEW ORDER 2-4 CLEAR
CLEAR STAGE 2-4 IN NEW ORDER MODE

NEW ORDER 2-5 CLEAR
CLEAR STAGE 2-5 IN NEW ORDER MODE

NEW ORDER EXTRA START
ENTER THE NEW ORDER EXTRA MODE

NEW ORDER EASY CLEAR
CLEAR NEW ORDER MODE IN EASY DIFFICULTY

ARCADE 1-1 CLEAR
CLEAR STAGE 1-1 IN ARCADE MODE

ARCADE 1-2 CLEAR
CLEAR STAGE 1-2 IN ARCADE MODE

ARCADE 1-3 CLEAR
CLEAR STAGE 1-3 IN ARCADE MODE

ARCADE 1-4 CLEAR
CLEAR STAGE 1-4 IN ARCADE MODE

ARCADE 1-5 CLEAR
CLEAR STAGE 1-5 IN ARCADE MODE

ARCADE 2-1 CLEAR
CLEAR STAGE 2-1 IN ARCADE MODE

ARCADE 2-2 CLEAR
CLEAR STAGE 2-2 IN ARCADE MODE

ARCADE 2-3 CLEAR
CLEAR STAGE 2-3 IN ARCADE MODE

ARCADE 2-4 CLEAR
CLEAR STAGE 2-4 IN ARCADE MODE

ARCADE 2-5 CLEAR
CLEAR STAGE 2-5 IN ARCADE MODE

ARCADE EXTRA START
ENTER THE ARCADE EXTRA MODE

ARCADE EASY CLEAR
CLEAR ARCADE MODE IN EASY DIFFICULTY

ENLISTMENT
ENTER MENU SCREEN

RANK IN
PLACE IN THE LOCAL SCOREBOARD

WAR CONTRIBUTION
SCORE A SPECIFIC CONTRIBUTION PERCENTAGE OR HIGHER

TOP GUN
SCORE A SPECIFIC SKILL ASSESSMENT PERCENTAGE OR HIGHER

SILVER

NEW ORDER CLEAR
CLEAR NEW ORDER MODE

ARCADE CLEAR
CLEAR ARCADE MODE

ARCADE NORMAL CLEAR
CLEAR ARCADE MODE IN NORMAL DIFFICULTY

ACE SHOT
DESTROY A SPECIFIC NUMBER OF ENEMIES WITH THE OPTION WEAPON

EARTH-FRIENDLY
SCORE A SPECIFIC AMOUNT OR HIGHER FOR FUEL CONSERVATION

GOLD

NEW ORDER EXTRA CLEAR
CLEAR THE NEW ORDER EXTRA MODE

NEW ORDER HARD CLEAR
CLEAR NEW ORDER MODE IN HARD DIFFICULTY

ARCADE EXTRA CLEAR
CLEAR THE ARCADE EXTRA MODE

ARCADE HARD CLEAR
CLEAR ARCADE MODE IN HARD DIFFICULTY

STOCKPILING ARMS
SCORE A SPECIFIC AMOUNT OR HIGHER FOR AMMUNITION CONSERVATION

1 SECRET

PLATINUM

UNDER DEFEAT MEISTER
Unlock all trophies

http://www.ps3trophies.org/game/under-defeat-hd-deluxe/trophies/