Here is the full list of all 51 Titanfall 2 trophies - there are 40 bronze, 8 silver, 2 gold and 1 platinum.
Earned all trophies
Place in the top 3 on the Gauntlet scoreboard
Find All Collectibles
Destroy a Titan with your Laser Core in the Campaign
Acquire 6 or more friendly Stalkers at the same time in the Campaign
Kill a Caged Prowler in the Wildlife Research Labs
Find 25 Collectibles
Find 10 Collectibles
Kept Lt. Shaver and Lt. Freeborn Alive
Kill 25 infantry in 2 seconds as a Titan in the Campaign
Perform a melee takedown while cloaked in the Campaign
Complete the Campaign on Master
Complete the Campaign on Hard
Complete the Campaign on Regular
Completed the rising world run
Defeated Slone
Destroy a Titan with your Smart Core in the Campaign
Collect all of BT's loadouts in the Campaign
Called in a new BT
Shoot and kill 3 enemies in a row while wallrunning as a Pilot in the Campaign
Secured the Ark
Defeated Viper
Located the Ark
Destroy 3 enemy Titans with 1 Core ability in the Campaign
Destroy a Titan with your Flight Core in the Campaign
Defeated Richter
Destroy a Titan with your Sword Core in the Campaign
Retrieved a working Uplink Module
Used the Arc Tool to activate a Stalker rack
Powered the Beacon
Found the Arc Tool
Completed Special Operation 217
Rodeo an enemy Titan in the Campaign
Destroy an enemy Titan as a Pilot in the Campaign
Viewed Anderson's first Holographic Log
Defeated Ash
Destroy a Mercenary Titan with a melee execution in the Campaign
Defeated the Reapers in Ash's Simulation Dome
Climbed the Sideways Town
Entered the World Foundry
Shoot and kill 3 enemies in a row while sliding as a Pilot in the Campaign
Destroy a Titan with your Flame Core in the Campaign
Defeated Kane
Destroy a Titan with your Salvo Core in the Campaign
Destroy a Titan with your Burst Core in the Campaign
Fully Powered BT-7274
Completed training
Beat Pilot Anderson's Gauntlet ghost recorder time
Join a multiplayer network
Win a multiplayer match
Customize a multiplayer loadout