Here is the full list of all 59 Killzone HD trophies - there are 53 bronze, 4 silver, 1 gold and 1 platinum.
Collect all trophies in Killzone
Complete Chapter 5 to 11 playing as Hakha
Switch allegiance of Helghast Sentry bots as Hakha
Get 20 kills with the FSK-7 Fury
Get 3 headshots with 1 magazine, using the secondary fire on the IvP-18 Tropov pistol
Get 20 headshots with the M4 Semi-Automatic Pistol
Complete Chapter 4 to 11 playing as Rico
Kill a Helghast within 1m with the M404-MAW M. Anti Tank Weapon ...and don't die
Kill 30 Helghast soldiers in under a minute
Kill 20 Helghast soldiers with the VnS-10 Scylla Mounted Machine Gun
Use the M224-A3 Heavy Support Weapon to melee 20 Helghast soldiers
Complete Chapter 3 to 11 playing as Luger
Kill 25 Helghast soldiers with the VnD-10M Siren
Kill 1 unfortunate Helghast soldier with 3 rockets from the BLR-06 Hadra
Finish a level above 90% hit efficiency
Destroy 3 Towers using the BDL-23 Dohvat
Finish a level above 75% hit efficiency
Kill 10 Helghast with the secondary fire on the M327 Grenade Launcher
Kill 4 Helghast in under 4 seconds with the EAW-25/4 Chimera
Get 20 kills with the M32 combat knife
Pick up 10,000 rounds for the STA-52 LAR rifle
Hit 15 Helghast soldiers without reloading, using the secondary fire on the M66 SD Submachine gun
Win a battlefields game with another player in split screen
Win a battlefields game playing on the Helghast's side with the enemy AI set to hard
Win a battlefields game playing on the ISA's side with the enemy AI set to hard
Kill a Helghast from 100m+ away with the Pnv-3 Siska
Complete Chapter 1 to 11 playing as Templar
Complete all levels on the easy difficulty
Complete all levels on the normal difficulty
Complete all levels on the hard difficulty
Complete Chapter 11
Take down General Adams with a grenade
Complete Chapter 10
Complete Chapter 9
Kill General Lente and his bodyguards
Kill 2 Helghast with 1 Double Shot from the M13 Semi-Automatic Shotgun
Complete Chapter 8
Blow up the ammo dumps in the Forward Logistics Base
Collapse the Helghast bridge in the Jungle Valley
Kill 5 Helghast soldiers with 1 grenade using the attachment on the M82-G Assault Rifle
Complete Chapter 7
Kill the IFO Bounty Hunter
Complete Chapter 6
Bring 2 Dropships crashing down in the Mist Waters Firebase
Destroy the Missile launching APCs in the Misty Waters Firebase
Complete Chapter 5
Finish a level above 50% hit efficiency
Complete Chapter 4
Complete Chapter 3
Kill 50 Helghast soldiers without dying
Complete Chapter 2
Kill 3 Helghast with 1 cooked M194 Percussion Grenade
Take down your first 2 Helghast Elite
Kill 2 Helghast with 1 shot from the BP-02 Pup launcher
Complete Chapter 1
Destroy 2 Helghast Tanks attacking the Industrial level
Get 10 headshots with the STA-52 SLAR Sniper Rifle
Destroy your first enemy APC
Kill 10 Helghast with the M224 Mounted Machine Gun