Successfully complete one of the following tasks to get a trophy:

Chinatown Rundown (Bronze): Complete Chapter 1 on any difficulty setting (Story Mode).
Vehicular Carnage (Bronze): Complete Chapter 2 on any difficulty setting (Story Mode).
Boneyard Workout (Bronze): Complete Chapter 3 on any difficulty setting (Story Mode).
You Dirty Rat (Bronze): Complete Chapter 4 on any difficulty setting (Story Mode).
Everybody Runs (Bronze): Complete Chapter 5 on any difficulty setting (Story Mode).
Falling for Kafka (Bronze): Complete Chapter 6 on any difficulty setting (Story Mode).
Uninvited Guest (Bronze): Complete Chapter 7 on any difficulty setting (Story Mode).
Breaking the Ice (Bronze): Complete Chapter 8 on any difficulty setting (Story Mode).
The Opera House (Bronze): Complete Chapter 9 on any difficulty setting (Story Mode).
Shock Therapy (Bronze): Complete Chapter 10 on any difficulty setting (Story Mode).
Road Rage (Bronze): Complete Chapter 11 on any difficulty setting (Story Mode).
Head to Head (Bronze): Complete Chapter 12 on any difficulty setting (Story Mode).
No Sweat! (Bronze): Finish Story Mode on Cake Walk (Easy) difficulty.
Monkey Curious! (Bronze): Collect 1 Monkey Toy.
Monkey Addict! (Bronze): Collect every Monkey Toy in a single Chapter.
Impulse Buyer! (Bronze): Purchase any 3 upgrades.
Bonafied! (Bronze): Earn a Bronze Medal in every Challenge (Boneyard Challenges).
Target Score Sampler! (Bronze): Beat the target score in any Chapter (Points Count Mode).
Revolver Onslaught! (Bronze): Kill a total of 200 Enemies using Rubi's Pistols during acrobatic slo-mo.
Shotgun Wallop! (Bronze): Kill a total of 200 Enemies using Rubi's Shotguns during acrobatic slo-mo.
Full-Auto Frenzy! (Bronze): Kill a total of 200 Enemies using Rubi's Sub-machineguns during acrobatic slo-mo.
Crossbow Blitz! (Bronze): Kill a total of 200 Enemies using Rubi's Dart Bows during acrobatic slo-mo.
Cutting Edge Combat (Bronze): Kill 200 Enemies with acrobatic Sword attacks.
Guns don't kill people... (Bronze): Kill 30 Enemies with environmental objects or explodables.
Group Therapy (Bronze): Kill 3 Enemies at the same time.
Turret-Syndrome (Bronze): Kill a total of 100 Enemies while using stationary gun.
Business as Usual (Silver): Finish Story Mode on Hired Gun (Normal) difficulty.
Quick Kills (Silver): Finish Story Mode on Golden Bullets difficulty.
Monkey Obsessed! (Silver): Collect every Monkey Toy in the game.
Keep Your Balance (Silver): Get a balance of 50,000 Style Points (Story Mode).
Scorpio (Silver): Kill every Scorpion in Rubi's Boneyard.
Fully Capable! (Silver): Purchase all Rubi Ability Upgrades.
Fully Loaded! (Silver): Purchase all Rubi Weapon Upgrades.
Hey Big Spender! (Silver): Purchase all Upgrades.
Bone-Head (Silver): Earn a Silver Medal in every Challenge (Boneyard Challenges).
Target Score Needy! (Silver): Beat the target score in 3 Chapters (Points Count Mode).
Hard Time (Gold): Finish Story Mode on Fixer (Hard) difficulty.
Blood, Sweat, and Tears (Gold): Finish Story Mode on Femme Fatale (Ultra Hard) difficulty.
Total Bone-Head (Gold): Earn a Gold Medal in every Challenge (Boneyard Challenges).
Target Score Junkie! (Gold): Beat the target score in every Chapter (Points Count Mode).
WET Platinum Trophy (Platinum): Congratulations! You are the Ultimate Fixer!