1. Collectibles
1.1. All Artifact Locations
1.2. All Gorgon Eye Locations
1.3. All Phoenix Feather Locations
1.4. All Decayed Chest Locations
1.5. All World Weapons

2. Story-Related
2.1. Round and Round (Chapter 5)
2.2. You Bastards! (Chapter 17)
2.3. Fireproof (Chapter 21)
2.4. Lubed Up (Chapter 24)

3. Miscellaneous
3.1. Maybe you should call a Doctor? – Keep the Rage Meter Filled for 2+ Minutes
3.2. Unleashed – Throw, Slam and Ram a grappled enemy
3.3. Open Minded – Win the Buttonless MiniGame against a Juggernaut
3.4. Hot Lunch – Win the Buttonless MiniGame against a Manticore
3.5. Cant’ Stop. Won’t Stop. BadBoy! – Perform a 1000 Hit Combo
3.6. Swinger – Ring out an enemy with the Club

No Drake. You can’t have these.
Collect all Artifacts in the game
There are a total of 10 Artifacts in God of War Ascension. These artifacts unlock special cheats such as infinite Magic. To use them you have to beat the game first. The artifacts are shown as small, white glowing spots on the ground. Collecting all 10 will earn you the “No Drake. You can’t have these.” gold trophy.
You can also get the artifacts via chapter select. Once you pick them up they are saved immediately. There is no need to reach the next checkpoint.

See God of War Ascension Artifact Text Guide

If it ain’t broke…
Reconstruct all of the Decayed Chests
There are a total of 7 Decayed Chests in God of War Ascension. Finding all of them will earn you the “If it ain’t broke…” gold trophy. To reconstruct the decayed chests you need the Amulet of Uroborus which is acquired automatically in the beginning of chapter 13. Stand in front of the chests and press L2+Square to reconstruct them. There is no need to loot the chests. If you die or restart checkpoints you will have to do it again! Doing this via chapter select won’t unlock the trophy. The first chest is in chapter 13 and the last one in chapter 19. So you need to play through all these chapters again if you missed something.

See God of War Ascension Decayed Chests Text Guide

The Eyes have It
Collect all of the Gorgon Eyes
There are a total of 20 Gorgon Eyes in God of War Ascension. Finding all of them will max out your health and earn you the silver trophy “The Eyes have It”. Everytime you find 5 Gorgon Eyes your health increases. The eyes are in white treasure chests. However, there are far more chests with Gorgon Eyes than you need. So you can miss some of them and still earn the trophy. After getting all 20 Gorgon Eyes you will be rewarded with red orbs everytime you open a white chest.

Light as a Feather
Collect all of the Phoenix Feathers
There are a total of 15 Phoenix Feathers in God of War Ascension. Finding all of them will max out your magic and earn you the silver trophy “Light as a Feather”. Everytime you find 5 Phoenix Feathers your magic increases. The feathers are in white treasure chests. However, there are far more chests with Phoenix Feathers than you need. So you can miss some of them and still earn the trophy. After getting all 15 Phoenix Feathers you will be rewarded with red orbs everytime you open a white chest.

Tools of the Trade
Use All 5 World Weapons in Combat
There are a total of 5 World Weapons in God of War Ascension. These weapons can be used in combat. Each weapon can be picked up at multiple locations throughout the entire game. Finding all 5 weapons will earn you the “Tools of the Trade” bronze trophy.

Round and Round
Solve the Rolling Crusher Puzzle
Location: Chapter 5 – The Village of Kirra
Towards the end of chapter 5 you will have to pull down a pillar to progress to the next area. Instead of jumping up to the next level you need to stay where you are and go all the way down the ruins until you reach a secret room with a rotating machine. In the middle of this room is a platform with three cranks. Use all of them to slow down the rotating machine and jump up to the white and red chests. There is a lever between these chests. Pull it and the trophy will unlock.

You Bastards!
Treat the Martyr of Hecatonchires poorly
Location: Chapter 17 – Martyr’s Chamber
This can be done in the very beginning of chapter 17. When opening the torture apparatus a dead body will fall out. You would actually need to take it upstairs and throw the corpse on the pressure plate below. For this trophy you need to do the opposite. Do not activate the pressure plate. Instead, just jump on the cage that is attached to the Martyr and it will rip out his arms.

Fireproof
Complete the Screw of Archimedes without getting hit by the Fire Traps
Location: Chapter 21 – The Forearm of Apollo
At the very end of chapter 21 you will enter the “Screw of Archimedes”. You need to use the Oath Stone of Orkos on the pressure plates to activate the elevator. Stay away from the fire and block all incoming attacks until you reach the top. Once on top, there is no more fire and you can take your time to kill all enemies. After they are all dead the path to the next chapter unlocks and you will earn the trophy.

Lubed Up
Complete the slide in the Statue of Apollo without dying
Location: Chapter 24 – The Shoulder of Apollo
This can be done at the end of chapter 24. After fighting multiple waves of Juggernauts and other enemies you will have to repair a part of the Apollo Statue and then you will be inside a room with some red and green orb chests. The slide section starts when leaving this room. Simply complete the slide without falling down. You may not restart checkpoints or go back to the main menu! If you die you need to replay the entire chapter via chapter select!

Maybe you should call a Doctor?
Keep the Rage Meter Filled for 2+ Minutes
Location: Chapter 1 – Prison of the Damned
The Rage Meter is displayed in the bottom right corner. You can fill it by attacking enemies without being hit. Shortly after chapter 1 starts you will enter the prison and see a cutscene where a bug infects a prisoner. Here you are supposed to learn how to grapple enemies. However, for this trophy you want to ignore this entirely. Do not grapple the enemy. Instead, keep killing it. The enemy respawns over and over again as long as you don’t do a grapple & throw. Avoid being hit and keep attacking for 2 minutes.

Unleashed
Throw, Slam and Ram a grappled enemy
Location: Chapter 1 – Prison of the Damned
To do this you need to grapple an enemy and perform the following attacks:
R1 + Triangle = Slam
R1 + X = Smash
R1 + Circle = Throw

This has to be done against one single enemy!

Open Minded
Win the Buttonless MiniGame against a Juggernaut
Location: Chapter 5 – The Village of Kirra
This can be done in the very beginning of chapter 5. The first enemy you encounter is a Juggernaut. Juggernauts look like Elephant Warriors. Hit the Juggernaut until you see the red finisher icon. Press R1 to start the minigame and quickly press Square or Triangle. The Juggernaut will attack you during the minigame. You need to evade with the left stick and keep attacking until it is dead.

Hot Lunch
Win the Buttonless MiniGame against a Manticore
Location: Chapter 9 – Ice Caverns
This can be done at the end of chapter 9. Here you will encounter your first Manticore. Manticores are big, purple colored, flying enemies. Hit the Manticore until you see the red finisher icon. Press R1 to start the minigame and quickly press Square or Triangle. The Manticore will attack you during the minigame. You need to evade with the left stick and keep attacking until it is dead.

Can’t Stop, Won’t Stop. BadBoy!
Perform a 1000 Hit Combo
Location: Chapter 19 – The Foot of Apollo
A great place to do this is in the very beginning of chapter 19. Immediately after the chapter starts you need to push a rock out of the way to continue to the next area. Instead of pushing the rock away you need to attack it with the Lightning of Zeus. Use the L1+Square special attack. Each attack gives you 4 hits! It will take 6 minutes to farm 1000 hits. There are no enemies nearby, so nothing can break your combo.
You have to upgrade the Lightning of Zeus to the second level to unlock this special attack!

Special thanks to Hakoom for finding this method and sharing it with me.

Swinger
Ring out an enemy with the Club
Location: Chapter 19 – The Foot of Apollo
The easiest place to do this is in chapter 19. Here you will have to use a lever to activate a platform. The platform will then start to move and harpies attack you. Press Circle to punch one of them with the club and they will fall down into the ocean and die.
Please note: the club is at the very end of chapter 18, after solving the chain puzzle. If you do it via chapter select load up chapter 19 first to check if you already have the club in your inventory or not. If not, then you need to replay chapter 18.