Here is the full list of all 12 Killzone Shadow Fall Intercept trophies - there are 7 bronze, 4 silver and 1 gold.
Get 500 headshots with any weapon
Kill 10 boss characters
Destroy 50 Air Support Drones
Get 250 kills with the minigun
Get 250 kills with the jetpack
Get 250 kills with the Marksman's LS70 sniper rifle in co-op
Revive 50 Team mates in co-op
Get 250 kills with the Tactician Turrets in co-op
Get 5 brutal melee kills as each of the four Combat Roles in co-op
Bank 2500 points as each of the four Combat Roles in co-op
Get 250 kills with the Assault's Breacher automatic shotgun in co-op
Win 50 co-op games