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