SINGLEPLAYER
~17 Hidden Trophies (one of them being a strange relic I think considering its placement in relation to the treasure trophies -- also, I say approximately 17 as I don't know which ones overlap in the pictures he's taken).
One Last Time - Collect All The Trophies
Charted! Explorer - Complete the game in explorer mode
Charted! Light - Complete the game in light mode
Charted! Moderate - Complete the game in moderate mode
Charted! Hard - Complete the game in hard mode
Charted! Crushing - Complete the game in chrushing mode
Charted! Speedrun - Complete the game in 6 hours or less
First Treasure - Find a Treasure
Treasure Hunter - Find 50 Treasures
Treasure Master - Find all Treasures
Jot This Down - Find a Journal Entry
Lost Art of Journaling - Find all Journal Entries
Take a Note - Find a Journal Note
Lost History - Find All Journal Notes
Head of the Class! - Defeat 20 enemies with headshots
You Have a Head for this Business - Defeat 50 enemies with headshots
Hangman's Bullet - Perform 20 headshots from the rope
Stealth First Ask Questions Later - Stealth take-down 5 enemies
Shh Sleep Now - Stealth take-down 30 enemies
I Thought I Heard Something - Perform 30 vertical stealth takedowns
Run-and-Gunner - Defeat 50 enemies from the hip or blind firing
Leapfrog - Defeat 10 enemies in a row, alternating gunplay and hand-to-hand
Unstoppable! - Defeat 100 enemies in a row without dying in combat
Sharpshooter - Complete game with 70% or higher shot accuracy
Rushing Roulette - Defeat enemies with a pistol, machine gun, and grenade, in that order, in 15s
Ghost in the Cemetery - Get through Scotland cemetery combat encounter without killing or being seen
Butterfingers - Make 10 enemies drop their grenades
Boom County - Defeat 4 enemies with the same explosion
Defeat 10 in 60 -- China Lake GL - Defeat 10 enemies in 60 seconds with the China Lake Grenade Launcher
Hang Tough! - Destroy 10 vehicles while being dragged from the rope
Run the Table - Defeat enemies with a stealth attack, melee attack, headshot, and explosives...
Hitting a Brick Wall - Defeat 5 armored enemies with melee only
Wingman - Perform 10 combo buddy takedowns
Cliffhanger - Pull 20 enemies over when hanging from a ledge
MULTIPLAYER
Continue the Adventure - Complete the Uncharted Multiplayer Introduction
Get in the Game - Complete 5 matches in Multiplayer
Trials by Fire - Complete all trials on Moderate (difficulty) in Multiplayer
Friends Forever! - Spawn 10 Sidekicks in Multiplayer
Medic! - Revive 10 Allies in Multiplayer