Here is the full list of all 32 Heavy Fire: Shattered Spear trophies - there are 18 bronze, 8 silver, 5 gold and 1 platinum.
Collect all the trophies.
Finish any mission with 5% or less accuracy.
Chain together 10 consecutive kills.
Find and destroy 100% of special objects.
Perform 150 headshots in total.
Fire 25,000 rounds of ammunition.
Find and destroy 75% of special objects.
Destroy 1000 objects in total.
Find and destroy 50% of special objects.
Complete all missions in Veteran Mode.
Perform 100 headshots in total.
Chain together 7 consecutive kills.
Destroy 500 objects in total.
Complete all missions in Rookie Mode.
Complete the 12th mission.
Perform 50 headshots in total.
Score 1,000 total kills.
Perform 6 splash damage kills simultaneously.
Perform 5 splash damage kills simultaneously.
Complete the 10th mission.
Complete the 8th mission.
Destroy 200 objects in total.
Complete the 7th mission.
Score 500 total kills.
Complete the 5th mission.
Score 50 long range kills in total.
Score 15 long range kills in total.
Complete the 3rd mission.
Score 250 total kills.
Complete the 2nd mission.
Perform 4 splash damage kills simultaneously.
Chain together 5 consecutive kills.