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