Here is the full list of all 44 Fate/EXTELLA LINK achievements.
Acquired all other Trophies.
Unlock 100% of the Gallery.
Unlock 100% of the Mystic Codes.
Unlock 100% of the Install Skills.
Cleared Stages 1 through 27 on Very Hard.
Unlock 75% of the Gallery.
Defeat Artoria as Lancelot.
Defeated Iskandar as Darius III.
Defeated Karna as Arjuna.
Used Karna's "Oh Brahma, Cover the Earth" or "Oh Brahma, Split the Earth" skills.
Cleared all Extra Stages.
Defeated two bosses in the "EX: Facsimile Fortress Nightmare" stage.
Cleared 32 Extra Strages.
Combined two combined Install Skills.
Cleared 24 Extra Stages.
Cleared 16 Extra Stages.
Combined two Install Skills.
Cleared eight Extra Stages.
Raised three Servants' Bond levels to MAX.
Defeated Scathach as Cu Chulainn.
Executed 8 Rush Attacks in one stage.
Raised a Servant's Bond level to MAX.
Cleared one Extra Stage.
Cleared Stage 27 and viewed the ending.
Used a Noble Phantasm twice in one stage.
Unlock 50% of the Gallery.
Chose to listen to Archimedes.
Cleared Stage 19 and viewed the ending.
Cleared stage 13 or 14.
Cleared Stage 11.
Maxed out an Install Skill.
Cleared Stage 18 and viewed the ending.
Cleared Stage 15 or 16.
Cleared Stage 9 or 10.
Unlock 25% of the Gallery.
Earned three Mystic Codes for strengthening bonds or clearing stages.
Earned a Mystic Code for strengthening a bond or clearing a stage.
Cleared Day 3.
Cleared Day 2.
Crafted a Mystic Code.
Cleared Day 1.
Activated Moon Drive four times in one stage.
Viewed the event in which Charlemagne first appears.
Gained 1000 KO's in one stage.