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