There are 35 Trophies that can be collected.

BRONZE

First of Many
Hunt the First Trophy

First Five Flags
Collect the first 5 Flags from the vehicle hunts

Far, Far Away…
Hunt 5 Trophies from at least 200 yards away

Steadiness
Hunt 15 Trophies from a Shooting Rest

Optimal Shot
Shoot a Trophy from optimal distance

Gold Rush
Obtain all the Gold medals

Know Your Target
Mark 20 big game animals

Fearless Hunter
Hunt 3 attacking animals in a single mission

Backbone
Hunt 8 attacking animals

Shiny New Firearm
Unlock your first firearm

Hunting Expertise
Finish the first hunting mission

Overlooking
Activate 20 Hilltop Spotting locations

Move on Hands and Knees
Activate 15 Shooting Rests

Hunter Vision
Mark 10 Trophies in Strategic View

Shooting Proficiency
Earn 180 GP in one hunt

Quick Hunt Rookie
Claim an animal on 5 Quick Hunt levels

SILVER

25 Flags
Collect 25 Flags from the vehicle hunts

Skill Shot
Hunt a big game animal from at least 70 yards away

Quick Hunt Pro
Claim an animal on all Quick Hunt levels

Step on the Gas
Hunt 4 animals in the vehicle hunts

Skillful Hunter
Hunt 10 small game animals

Quick Hunt Expert
Claim more than 20 animals in Quick Hunt

20 Semi-Auto Hunts
Hunt 20 animals with Semi-Auto firearms

20 Lever Action Hunts
Hunt 20 animals with Lever Action firearms

Big Five
Hunt one Cape Buffalo, Elephant, Leopard, Lion and White Rhino

Gun Master
Unlock all the gun parts

Complete Semi-Auto Collection
Unlock all the Semi-Auto firearms

Complete Lever Action Collection
Unlock all the Lever Action firearms

Pursuing the Hunt
Find 50 animal tracks

High Score
Earn 25,000 XP from a single Trophy

GOLD

Complete Rifle Collection
Unlock all the Rifles

Master Hunter
Reach the highest level possible

Experience is Piling Up
Reach 500,000 XP

All Flags
Gather all the Flags from the vehicle hunts

20 Rifle Hunts
Hunt 20 animals with rifles

PLATINUM

Grand Master Hunter
Unlock all Trophies in the game

http://www.ps3trophies.org/game/cabelas-hunting-expeditions/trophies/