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