Here is the full list of all 35 LEGO Marvel's Avengers trophies - there are 20 bronze, 9 silver, 5 gold and 1 platinum.
Collect all other trophies
Unlock all characters
Complete all Manhattan and Helicarrier challenges
Throw Beta-Ray Bill with Hulk
Complete all character side missions
Unlock all vehicles
Complete all level challenges
Fly the Squirrel-A-Gig as Squirrel Girl
Smash 10 objects using a Hyper Jump Slam
Smash the 10 Helicarrier fuel tankers with the Quinjet
Spawn the S.H.I.E.L.D. Minicarrier on the large helicarrier
Defeat 3 enemies at once with the Beam Reflector teamwork move
Defeat 20 enemies with the Shield Shockwave teamwork move
Perform the ''Heartbreaker'' finishing move
Defeat 6 enemies at once with Iron Man missiles
Defeat 10 enemies as Ant-Man (Classic) while shrunk
Defeat 30 enemies using 400% charge attacks
Perform a repulsor blast during a landing slide. Use this to smash an object.
Smash 10 objects using Hulk's punch on a wall
Smash the piano in Avengers Tower as Hawkeye
Use all 8 teamwork moves
Perform a teamwork move with Tony Stark and Bruce Banner
Complete all ''The Collector'' challenges
Unlock all the Iron Man suits
Earn gold ratings in all the Time Trial challenges
Perform a teamwork move with Iron Man and War Machine
Perform 10 stealth finishers as Loki
Chain together 4 Hyper Jumps as Hulk
Earn a Gold Rating in every Smash Challenge
Complete all ''Earth's Mightiest'' challenges
Complete the Age of Ultron Levels
Use all of Hawkeye's trick arrow types
Complete the Avengers Assemble Levels
Smash 25 Hydrants in Manhattan
Complete the Prologue Levels