Here is the full list of all 49 Fragment's Moonrise achievements.
Slay Apprentice Dragon Barein
Slay the Twin Flame Matostas Syrenna & Sylphas
Slay Flame Matosta Surras
Slay the Squadron of Barein
Slay Mataush, the Fire Arkoyle
Complete the Introductory Tutorial
Slay the Apprentice Dragon
Advance a Magician to any of the Apprenticeships.
Slay the Chimaera
Slay the Dragon of Flame
Slay the Dragon of Frost
Slay the Dragon of Lightning
Slay the Drake
Slay the Great Winged Drake
Slay the Hydra
Slay the Immense Stone Kauw
Slay the Lesser Dragon of Flame
Slay the Lesser Dragon of Frost
Slay the Lesser Dragon of Lightning
Slay the Queen Spider
Slay the Souls of the Lesser Dragons
Slay the Iyyuzu
Slay the Kollusk Barragers
Slay the Wind Dragon
Slay the Wingless Whisperer
Slay the Wisp of the Dark Clouds
Slay the Dragon of Mysticism
Slay the Elite Nightdrake
Slay the Great Kollusk Barragers
Slay the Kolhunter Toad
Slay the Mystic Matosta
Slay the Nightdrake
Advance any Apprentice to their Follower class.
You've freed the spirit of the Great Horned Deer, granting you the Tome of Nature.
You've freed the spirit of the Songbird of Nature, granting you the Tome of Sound.
You've freed the Spirit of the Dragon of Nature, granting you the Tome of Transcendence.
Construct a Dark Library
Advanced a Harvester to a Greater Harvester.
Construct a Great Library
Construct a Harvester
Construct a Lecture Hall
Construct a Library
Advanced a Greater Harvester to a Master Harvester.
Construct a Sanctuary
Congratulations! You've completed the pre-Hydra Beta version of the game. This Achievement is only available for unlock during the pre-Hydra Beta.
Slay the Souls of the Greater Dragons
Advance one of your Mystic Warriors to an Apprentice.
"And tell him I fought hard."
Complete the Storyline Intro