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
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
Complete Chapter 3 to 11 playing as Luger
Complete all levels on the normal difficulty
Complete all levels on the hard difficulty
Take down General Adams with a grenade
Destroy 3 Towers using the BDL-23 Dohvat
Kill 20 Helghast soldiers with the VnS-10 Scylla Mounted Machine Gun
Kill 5 Helghast soldiers with 1 grenade using the attachment on the M82-G Assault Rifle
Kill 30 Helghast soldiers in under a minute
Kill 10 Helghast with the secondary fire on the M327 Grenade Launcher
Use the M224-A3 Heavy Support Weapon to melee 20 Helghast soldiers
Get 20 kills with the M32 combat knife
Kill 3 Helghast with 1 cooked M194 Percussion Grenade
Hit 15 Helghast soldiers without reloading, using the secondary fire on the M66 SD Submachine gun
Kill 25 Helghast soldiers with the VnD-10M Siren
Switch allegiance of Helghast Sentry bots as Hakha
Kill 1 unfortunate Helghast soldier with 3 rockets from the BLR-06 Hadra
Get 3 headshots with 1 magazine, using the secondary fire on the IvP-18 Tropov pistol
Get 20 kills with the FSK-7 Fury
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
Win a battlefields game with another player in split screen
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 Chapter 11
Pick up 10,000 rounds for the STA-52 LAR rifle
Complete Chapter 10
Complete Chapter 9
Kill General Lente and his bodyguards
Complete Chapter 8
Blow up the ammo dumps in the Forward Logistics Base
Collapse the Helghast bridge in the Jungle Valley
Complete Chapter 7
Kill the IFO Bounty Hunter
Kill 2 Helghast with 1 shot from the BP-02 Pup launcher
Complete Chapter 6
Bring 2 Dropships crashing down in the Mist Waters Firebase
Destroy the Missile launching APCs in the Misty Waters Firebase
Get 20 headshots with the M4 Semi-Automatic Pistol
Complete Chapter 5
Kill 50 Helghast soldiers without dying
Complete Chapter 4
Complete Chapter 3
Kill 4 Helghast in under 4 seconds with the EAW-25/4 Chimera
Complete Chapter 2
Take down your first 2 Helghast Elite
Kill 10 Helghast with the M224 Mounted Machine Gun
Kill 2 Helghast with 1 Double Shot from the M13 Semi-Automatic Shotgun
Complete Chapter 1
Destroy 2 Helghast Tanks attacking the Industrial level
Get 10 headshots with the STA-52 SLAR Sniper Rifle
Finish a level above 50% hit efficiency
Finish a level above 75% hit efficiency
Finish a level above 90% hit efficiency
Destroy your first enemy APC