Here is the full list of all 13 Crossout trophies - there are 9 bronze, 3 silver and 1 gold.
Reach reputation level 5 with ‘Engineers’
Manufacture a rare part
Build an epic part
Successfully complete 500 raids
Complete 30 daily challenges
Buy 10 goods on the market
Sell 10 goods on the market
Destroy or help destroy 3000 enemies in PvE
Successfully complete 10 ‘Leviathan’ raids
Build 50 of any parts
Destroy 2000 player vehicles by any means
Manufacture a legendary part
Reach reputation level 30 with ‘Engineers’