Here is the full list of all 13 Vengeful Guardian: Moonrider achievements.
Finish every level with an S rank
Finish every level with an A rank or above
Finish every level with an B rank or above
Beat an entire stage without taking damage
Find all the chips
Beat Sunseeker
Beat Darkchaser
Beat Flamestalker
Beat Stormdriver
Beat Geocrusher
Beat Photondrifter
Beat Hydromancer
Beat Genoqueen