Here is the full list of all 56 Magical Battle Festa achievements.
Use Chain Drive 100 times.
Use Ultimate Drive over 100 times.
Use Overdrive 100 times.
Earn an S Rank in the Magical Battle Festa Mode.
Unlock Overdrive Claudio as a playable character.
Unlock Corrupt Ion as a playable character.
Use Provoke to recover your Formation Gauge by 1000%
Successfully stun 20 times using Kyouichi's sway counter.
Successfully use a sway counter 20 times.
Successfully use Force Reject 5 times in a row.
Successfully pull off a Formation Break 5 times or more during one battle.
Winn 100 battles in Network Mode.
Play 5 replay videos.
Win 20 battles in Network Mode.
Win your first battle in Network Mode.
Successfully use a Just Guard 10 times.
Unlock all possible Skills.
Earn an S Rank in Survival mode.
Win 5 battles with an Ultimate Force attack.
Use Formation Change 100 times.
Use Formation Change 10 times or more during one battle.
Spend over 30 minutes in the Training Mode.
Complete 50 battles using either Raiga or Albis.
Complete 50 battles using Mersa.
Complete 50 battles using Avain.
Complete 50 battles using either IkS=Piari or Lazona.
Suffer 5 or more Formation Breaks during one battle.
Complete 50 battles using either Leafa or Kyouichi.
Complete 50 battles using either Ion or Claudio.
Unlock all possible Formations.
Clear all of Albis' episodes.
Clear all episodes.
Unlock Albis the Specter as a playable character.
Clear all of Claudio's episodes.
Unlock Claudio Vecela as a playable character.
Successfully win 5 close contests.
Clear all of Leafa's episodes.
Clear all of Avain's episodes.
Unlock Avain Clane as a playable character.
Successfully throw 50 times using Mersa, Avain, or Albis.
Clear all of Aoi's episodes.
Clear all of Mersa's episodes.
Unlock Mersa Gloria as a playable character.
Clear all of Lazona's episodes.
Clear all of IkS=Piari's episodes.
Clear all of Kirio's episodes.
Complete 50 battles using either Aoi or Kirio.
Clear all of Ion's episodes.
Play the Magical Battle Festa Mode for the first time.
Connect to a Lobby Server in Network Mode.
Clear all of Kyouichi's episodes.
Clear the Tutorial.
Clear all of Raiga's episodes.
Use Force Reject to counter and damage your attacker.
Set up your Character for the first time.
Play Story Mode for the first time.