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.
Raised three Servants' Bond levels to MAX.
Cleared Stages 1 through 27 on Very Hard.
Cleared all Extra Stages.
Unlock 100% of the Install Skills.
Cleared 32 Extra Strages.
Defeated two bosses in the "EX: Facsimile Fortress Nightmare" stage.
Cleared 24 Extra Stages.
Combined two combined Install Skills.
Defeated Iskandar as Darius III.
Defeated Scathach as Cu Chulainn.
Used Karna's "Oh Brahma, Cover the Earth" or "Oh Brahma, Split the Earth" skills.
Unlock 75% of the Gallery.
Defeat Artoria as Lancelot.
Cleared 16 Extra Stages.
Executed 8 Rush Attacks in one stage.
Raised a Servant's Bond level to MAX.
Cleared eight Extra Stages.
Defeated Karna as Arjuna.
Combined two Install Skills.
Cleared one Extra Stage.
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 13 or 14.
Maxed out an Install Skill.
Cleared Stage 11.
Cleared Stage 18 and viewed the ending.
Earned three Mystic Codes for strengthening bonds or clearing stages.
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.
Cleared Day 2.
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.