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