Here is the full list of all 14 Darwin Project trophies - there are 11 bronze, 2 silver and 1 gold.
Reach level 50 with a Class
Win 10 matches (excludes Custom or Training)
Eliminate 100 opponents (excludes Custom or Training)
Eliminate your first opponent (except Custom or Training)
Win a match (excludes Custom or Training)
Equip a legendary weapon skin
Complete 30 daily challenges
Shoot an opponent from at least 75m with the Bow (excludes Custom or Training)
Deal 100,000 damage throughout your career (excludes Custom or Training)
Eliminate 3 opponents in a single match (excludes Custom or Training)
Search 50 Loot Chests (excludes Custom or Training)
Reach level 10 with 3 different Classes
Inspect Clues from 10 different opponents (excludes Custom or Training)
Deflect 10 opponents' Arrows (excludes Custom or Training)