Here is the full list of all 46 Fortnite trophies - there are 32 bronze, 10 silver, 3 gold and 1 platinum.
Craft your first weapon
Protect the survivors
Unlock access to the Constructor Hero
Complete "Ride the Lightning"
Complete "Retrieve the Data"
Complete "Rescue the Survivors"
Complete "Epic Troll Stash"
Complete "Two Swirls"
Complete "Ray.README"
Complete "Six Minutes"
Complete "Rifty Business"
Complete "The Battle of Plank Harbor"
Complete "Plankerton Storm Shield Defense 6"
Complete all the Main Quests in Plankerton
Complete "Quad Squad"
Complete all the Main Quests in Canny Valley
Complete "Twine Peaks Storm Shield Defense 6"
Unlock access to the Outlander Hero
Build 500,000 Structures in successful missions
Destroy 100 Garden Gnomes in successful missions
Fully explore 1,500 zones in successful missions
Complete "I'm Probably Dead"
Complete your first mission
Complete "Homebase Storm Shield Defense 1"
Complete "Before and After Science"
Unlock and Slot your first Storm Shield Defender
Unlock and Slot your first Mission Defender
Complete "Homebase Storm Shield Defense 6"
Complete all the Main Quests in Stonewood
Complete "Plankerton Storm Shield Defense 1"
Complete "Shelter Skelter"
Complete "Canny Valley Storm Shield Defense 1"
Complete "Canny Valley Storm Shield Defense 6"
Complete "Twine Peaks Storm Shield Defense 1"
Complete "Hero Training - Stage 2"
Complete "Survivor Training - Stage 2"
Complete "Defender Training - Stage 2"
Unlock access to the Ninja Hero
Complete "Weapon/Trap Evolution"
Complete "Toxic Treasures - Stage 10"
Save 10,000 Survivors in successful missions
Loot 300 Treasure Chests in successful missions
Kill 20,000 Mist Monsters in successful missions
Earn all other Fortnite trophies to collect this trophy
Complete "All Together Now" (Daily Quest)
Complete 1,000 Play With Others missions