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