Below is the complete list of all 50 trophies for Uncharted: The Lost Legacy. I will elaborate further on the requirements for each one as I unlock them.
Trophy Name: Don't Ruin The Moment
Trophy Type: Platinum
Description: Collect all the Trophies.
Trophy Name: Legacy Found!
Trophy Type: Silver
Description: Complete the Game.
Trophy Name: Progress Demands Sacrifice
Trophy Type: Gold
Description: Complete the Game in Crushing mode.
Trophy Name: Casual Treasure Hunter
Trophy Type: Bronze
Description: Find 5 treasures.
Trophy Name: Hardcore Treasure Hunter
Trophy Type: Bronze
Description: Find 35 treasures.
Trophy Name: Collector of Antiquities
Trophy Type: Silver
Description: Find all the treasures.
Trophy Name: Shake For Your Fortune
Trophy Type: Bronze
Description: Ask Skeleseer a question.
Trophy Name: Token For Granted
Trophy Type: Bronze
Description: Find a Hoysala token.
Trophy Name: Yas Queen
Trophy Type: Silver
Description: Find all the Hoysala tokens and obtain the Queen's Ruby.
Trophy Name: Five Finger Discount
Trophy Type: Bronze
Description: Open 5 lockboxes.
Trophy Name: Picks or It Didn't Happen
Trophy Type: Bronze
Description: Open every lockbox.
Trophy Name: #nofilter
Trophy Type: Bronze
Description: Take a photo at 5 photo opportunities.
Trophy Name: Pics or It Didn't Happen
Trophy Type: Silver
Description: Take a photo at all the photo opportunities.
Trophy Name: Getting to Know You
Trophy Type: Silver
Description: Listen to all optional conversations.
Trophy Name: Si Vis Pacem Para Bellum
Trophy Type: Bronze
Description: Use every gun in the game.
Trophy Name: Were You Counting?
Trophy Type: Bronze
Description: Defeat an enemy with the last bullet in your handgun clip.
Trophy Name: 10 Up, 10 Down
Trophy Type: Silver
Description: Defeat 10 enemies with headshots in a row.
Trophy Name: Frazer. Chloe Frazer
Trophy Type: Bronze
Description: Defeat 5 consecutive enemies with the silenced pistol without being detected.
Trophy Name: Itchy Trigger Finger
Trophy Type: Bronze
Description: Defeat 20 enemies firing from-the-hip.
Trophy Name: Stay and Pray
Trophy Type: Bronze
Description: Defeat 20 enemies blind-firing from cover.
Trophy Name: Tip of the Hat
Trophy Type: Bronze
Description: Stealth take-down 10 armored enemies with melee by first removing their helmets without being detected.
Trophy Name: Royal Demolitionist
Trophy Type: Bronze
Description: Defeat 20 enemies with C4.
Trophy Name: On the Grid
Trophy Type: Bronze
Description: Mark 30 enemies.
Trophy Name: I Was Never Here
Trophy Type: Bronze
Description: Open a lockbox with enemies nearby.
Trophy Name: C-Phoria
Trophy Type: Bronze
Description: Defeat 4 enemies with one C4 detonation.
Trophy Name: Just the Wind
Trophy Type: Silver
Description: Stealth take-down 15 enemies in a row.
Trophy Name: Now You See Me...
Trophy Type: Bronze
Description: Break stealth and re-enter stealth successfully.
Trophy Name: Wingwoman
Trophy Type: Bronze
Description: Perform 10 combo partner takedowns.
Trophy Name: The Way of the Warrior
Trophy Type: Gold
Description: Make it to the outskirts of Halebidu in Chapter 5 without using a firearm or explosive.
Trophy Name: The Sampler
Trophy Type: Bronze
Description: Defeat 5 enemies, each one taking damage from a handgun, long-gun, and melee.
Trophy Name: Make an Entrance
Trophy Type: Silver
Description: Defeat enemies with the vehicle, long-gun, melee, and grenade, in that order, in 20 seconds.
Trophy Name: Bring in the Big Guns
Trophy Type: Silver
Description: Defeat 30 enemies with gold weapons.
Trophy Name: 4x4x4
Trophy Type: Bronze
Description: Defeat 4 enemies with the vehicle in 20 seconds.
Trophy Name: Drop Me a Line
Trophy Type: Bronze
Description: Use all the zip-lines to traverse the city.
Trophy Name: Your Prize
Trophy Type: Bronze
Description: Appreciate the view at the top of the Hoysala Empire.
Trophy Name: Best Driver in the Business
Trophy Type: Bronze
Description: Drive from the Ganesh mountain carving to the top of the waterfall at the Trident Fort and back in under 3 minutes.
Trophy Name: Flawless Gauntlet
Trophy Type: Bronze
Description: Get through all 3 Axe Fort trials without resetting any boards.
Trophy Name: Quiet as a Mouse
Trophy Type: Bronze
Description: After entering the Trident Fort, reach the door without being seen.
Trophy Name: Tarzana
Trophy Type: Bronze
Description: Perform 5 grapple swings in a row without touching the ground.
Trophy Name: Stunt It!
Trophy Type: Bronze
Description: Get 30 seconds of total airtime with the vehicle.
Trophy Name: Shadow Theater
Trophy Type: Bronze
Description: Complete the shadow puzzle in 10 moves or less.
Trophy Name: Marco Po-No
Trophy Type: Bronze
Description: Play in the water in the dam in Halebidu.
Trophy Name: Fingersmith
Trophy Type: Bronze
Description: Pick a three pin lock in under 15 seconds.
Trophy Name: Overkill
Trophy Type: Silver
Description: Plant multiple C4 charges on the APC at the same time and destroy it with one massive detonation.
Trophy Name: Cannonball!
Trophy Type: Bronze
Description: Perform an impressive dive from the cliff near the old railroad tracks.
Trophy Name: Right Under Your Nose
Trophy Type: Silver
Description: Destroy the helicopter without defeating any other enemies.
Trophy Name: Combat Racing
Trophy Type: Bronze
Description: Ram 10 motorcycles.
Trophy Name: Backseat Driver
Trophy Type: Bronze
Description: Commandeer 6 vehicles by jumping on them and kicking out the driver.
Trophy Name: Here, Catch!
Trophy Type: Bronze
Description: Destroy a vehicle in Chapter 9 with an explosive.
Trophy Name: Let's Not Get Caught
Trophy Type: Bronze
Description: Drive over the edge in the Western Ghats.