Here is the full list of all 35 NERF Legends trophies - there are 18 bronze, 11 silver, 5 gold and 1 platinum.
Unlock all trophies
Completed Training
Tag Out a flying Nerfbot while you are sliding
Tag Out a Nerfbot while you are in the air
Get the multiplier up to x64
Get Bronze on all Gauntlet trials
Complete Fortress Siege
Complete Jungle Trouble
Complete Ragnarok Showdown
Complete Space Spaceport Blastoff
Upgrade all Base Blasters to max level
Tag Out 10 rivals in Multiplayer Matches
Unlock all Blasters
Unlock all Perks
Tag Out 10 rivals using Melee in Multiplayer Matches
Tag Out a rival in a Multiplayer Match using a Blaster from the Striker class and not scoping
Tag Out 10 rivals in Multiplayer Matches using melee while jumping
Unlock all visors
Parry 1000 Darts in Multiplayer Matches
Get Silver on all Gauntlet trials
Get Gold against the Fortress Siege Master
Get Gold against the Jungle Trouble Master
Get Gold against the Ragnarok Showdown Master
Get Gold against the Spaceport Blastoff Master
Get Gold against the Grand Master
Play 10 Multiplayer Matches
Tag Out 100 rivals in Multiplayer Matches
Place first in a Multiplayer Match
Tag Out 50 rivals using Melee in Multiplayer Matches
Find all secrets
Get Gold on all Gauntlet trials
Play 50 Multiplayer Matches
Tag Out 1000 rivals in Multiplayer Matches
Tag Out 100 rivals using Melee in Multiplayer Matches
Win 200 Multiplayer Matches