Here is the full list of all 57 MY HERO ONES JUSTICE achievements.
Fight 50 online battles.
Fight 20 online battles.
Fight 5 online battles.
Fight 100 local matches.
Obtain 400 player customization items.
Fight 30 local matches.
Get a perfect win 10 times in online or local matches.
Fight 10 local matches.
Complete Map 6.
Complete Maps 1 to 6.
Complete Maps 1 to 6 with an A-Rank or above.
Reach a combined character level of 500.
Obtain 450 character customization items.
Obtain 350 character customization items.
Obtain 300 player customization items.
Complete Map 5.
Collect 100,000 hero coins.
Win 50 battles using heroes.
Perform 50 Plus Ultras using heroes.
Acquire 100 titles.
Complete Map 4.
Collect 50,000 hero coins.
Obtain 200 player customization items.
Reach a combined character level of 100.
Complete Map 3.
Win 50 battles using villains.
Perform 50 Plus Ultras using villains.
Complete Score Attack Mission.
Obtain 250 character customization items.
Win 20 battles using heroes.
Fight on 5 stages in local matches.
Reach a combined character level of 50.
Complete Map 2.
Complete every story chapter.
Complete every story chapter with an A-Rank or above.
Use sidekicks 100 times.
View 20 characters' battle entrances.
Complete "All For One."
Complete "Complete Victory."
Win 20 battles using villains.
Obtain 100 player customization items.
Obtain 150 character customization items.
Complete "Encounter."
Complete "A Real Hero."
Complete Map 1.
Use sidekicks 50 times.
Complete "One For All."
Trigger 50 wall rushes.
Complete "Climax."
Perform 1,000 combos against opponents.
Acquire 20 titles.
Complete "Up and Over."
Use sidekicks 10 times.
Complete "Re-Ingenium."
Use Quirk Specials 100 times.
Get an Ultra Finish.
Complete "Bizarre! Gran Torino Appears."