There are 41 Trophies that can be collected.

Bronze

Front and Center
Get a scoped headshot over 150m

Mousetrap Fuse
Use a trip mine to kill an enemy who is trying to assault your position

Ear Plugs
Snipe an enemy while your rifle fire is masked by a loud sound

Fuel Tank
Destroy a tank by sniping the fuel supply

Silent but deadly
Covertly kill 25 unaware enemies

Deadeye
Snipe an enemy through his eye

Double Dose
Snipe 2 people with one shot

Cooking Off
Snipe a grenade on an enemy's webbing from 100m

Trainee Sniper
Escape the German assault

Novice Sniper
Stop the convoy

Apprentice Sniper
Destroy the V2 Facility and escape to safety

Journeyman Sniper
Hold off the Russian advance

Skilled Sniper
Stop the execution

Pro Sniper
Collect intel from the church and make it out alive

Expert Sniper
Eliminate Müller

Master Sniper
Uncover Wolff's plan

Veteran Sniper
Discover the location of the V2 launch site

Feared Sniper
Destroy the V2 rocket

Get Off the ground
Kill everyone in the convoy from ground level, except for Kreidl

High and Mighty
Wipe out the Elite Russian Sniper Team from the rooftops

Fish Tank
Send the tank into the river by blowing up the bridge

Kilroy was Here
Make it through the tower to the winch room without being spotted

Bedpan Commando
Resuscitate your partner in coop 10 times

Bomb Happy
Survive 10 Games of bombing run

Silver

Go the Distance
Get a cumulative sniped kill distance of a marathon

Iron Lung
Hold your breath for a cumulative time of half an hour

Potato Masher
Kill 100 enemies with explosives

World Record
Get 506 cumulative sniper kills

Gung Ho
Snipe 100 moving targets

Head Honcho
Get 100 sniped headshots

Gold Rush
Find and retrieve all the stolen gold bars

Pass the Buck
Get a sniped ricochet headshot

Make Every Bullet Count
Complete a level with 100% accuracy, using only rifles

Hide and Hope
Complete a level without being shot a single time

Legendary Sniper
Prevent Wolff from escaping

Target Spotted!
As a spotter in Overwatch, tag 50 enemies

Target Eliminated!
As a sniper in Overwatch, snipe 50 enemies tagged by your partner

Detonator
Career total of 50 shots on explosives

Can Do!
Complete all co-op Overwatch Missions

Gold

Jungle Juice
Find and snipe all the hidden bottles throughout the game

Sniper Elite
Complete all missions on highest difficulty

Platinum

Platinum Trophy
Win all other trophies to take your place as the world's greatest sniper

http://www.ps3trophies.com/forums/playstation-trophy-news/15803-sniper-elite-v2-trophy-list.html