Here is the full list of all 29 Deer Hunter: Reloaded trophies - there are 14 bronze, 7 silver, 7 gold and 1 platinum.
Bag a doe/cow
In one hunt, bag one of each type of trophy animal in a region
Unlock all other Trophies
Master a trophy animal
Master 5 trophy animals
Master all 9 trophy animals (core game)
Purchase a new weapon
Purchase a level 4+ weapon
Purchase a level 8+ weapon
Complete 10 bird hunts
Bag 100 small trophy animals
Fully upgrade the binoculars
Bag a Monster of every trophy animal and dangerous animal type (core game)
Unlock Colorado
Bag a Monster trophy animal
Unlock Alaska
Get a headshot on a dangerous animal
Be killed by a dangerous animal
Purchase every Weapon (core game)
Prone on the bedroll
Reach level 2
Get a vital shot at 200+ yards
Bag Ramsey
Bag Lawrence the Elk
Bag Zeus the Moose
Complete the main campaign
Tag an animal and kill it in a different hunting area.
Tag a monster animal with the binoculars
Reach level 10