Here is the full list of all 14 Vengeful Guardian: Moonrider trophies - there are 2 bronze, 1 silver, 10 gold and 1 platinum.
Collect all the trophies
Beat Genoqueen
Beat Hydromancer
Beat Flamestalker
Beat Stormdriver
Beat Geocrusher
Beat Photondrifter
Beat Darkchaser
Beat Sunseeker
Beat an entire stage without taking damage
Finish every level with an S rank
Finish every level with an A rank or above
Find all the chips
Finish every level with an B rank or above