Here is the full list of all 28 Extinction trophies - there are 12 bronze, 8 silver, 7 gold and 1 platinum.
Unlock all Trophies
Finish Daily Challenge 10 times
Earn a score of at least 1,000,000 in Extinction
Finish Daily Challenge 5 times
Kill 1,000 Jackals
Obtain 3 Stars in all Rescue Run Trials
Complete all Rescue Run Trials
Complete 10 Skirmishes
Kill 100 Elite Jackals
Complete 5 Skirmishes
Complete 10 Extinction Battles
Obtain all Stars in Campaign Missions
Purchase all Upgrades
Complete Campaign
Kill a Ravenii wearing Spiked Armor
Kill a Ravenii with a Spiked helmet
Kill a Ravenii wearing Thorn Armor
Kill a Ravenii wearing Bone Armor
Kill 50 Ravenii
Save 500 Civilians
Kill a Ravenii wearing Gold Armor
Purchase 15 Upgrades
Save 100 Civilians
Kill a Ravenii wearing Iron Armor
Kill a Ravenii while all its limbs are severed
Kill a Ravenii for the first time
Travel 1 kilometer without landing
Purchase 1 Upgrade