Here is the full list of all 15 Gunducky Industries++ trophies - there are 4 silver, 10 gold and 1 platinum.
Master of gunduckys
Clear river 1 without taking any damage
Clear river 2 without taking any damage
Clear river 3 without taking any damage
Clear ruins without taking any damage
Clear eagle boss without taking any damage
Clear city without taking any damage
Clear robot factory without taking any damage
Clear final boss without taking any damage
Beat the game
destroy all purple glowing enemies in river 1 in one life
destroy all purple glowing enemies in river 2 in one life
destroy all purple glowing enemies in river 3 in one life
destroy all purple glowing enemies in ruins in one life
destroy all purple glowing enemies in city in one life