Here is the full list of all 25 Epic Dumpster Bear: Dumpster Fire Redux trophies - there are 12 bronze, 5 silver, 7 gold and 1 platinum.
Defeat the boss in world 1
Pay yellow coins to unlock a level
Complete a level using the double jump power up
Get all other trophies
Earn at least a silver medal on each level
Get all the red coins in coin unlocked levels and complete all coin unlocked levels
Complete level 7-6
Defeat the Space Dragon in World 6
Unlock all yellow coin unlocked levels
Get 3100 target points
Find all secret exits
Find a secret exit
Get 5 gold medals
Get 5 bullseyes at the end of levels
Get 1500 target points
Defeat the boss in world 2
Defeat the boss in world 3
Defeat the boss in world 4
Defeat the boss in world 5
Get 15 gold medals
Get 30 gold medals
Find 5 secret exits
Pay yellow coins to unlock 7 levels
Complete a level using the wing power up
Get 9 Gold Medals