Here is the full list of all 46 JoJo's Bizarre Adventure: All-Star Battle R trophies - there are 29 bronze, 14 silver, 2 gold and 1 platinum.
Collected every single trophy.
Completed All-Star Battle Mode.
Completed 1 panel of All-Star Battle Mode Part 1.
Completed all panels of All-Star Battle Mode Part 1.
Completed 1 panel of All-Star Battle Mode Part 2.
Completed all panels of All-Star Battle Mode Part 2.
Completed 1 panel of All-Star Battle Mode Part 3.
Completed 5 panels of All-Star Battle Mode Part 3.
Completed all panels of All-Star Battle Mode Part 3.
Completed 1 panel of All-Star Battle Mode Part 4.
Completed all panels of All-Star Battle Mode Part 4.
Completed 1 panel of All-Star Battle Mode Parte 5.
Completed all panels of All-Star Battle Mode Parte 5.
Completed 1 panel of All-Star Battle Mode Part 6.
Completed all panels of All-Star Battle Mode Part 6.
Completed 1 panel of All-Star Battle Mode Part 7.
Completed all panels of All-Star Battle Mode Part 7.
Completed 1 panel of All-Star Battle Mode Part 8.
Completed all panels of All-Star Battle Mode Part 8.
Completed a match in Single VS Battle.
Purchased 100 gallery items.
Purchased 500 gallery items.
Landed an HHA.
Landed a GHA.
Landed an HHA using Easy Beat.
Landed an Assist.
Pulled off a zoomed-in taunt.
Pulled off a Stylish Evade.
Pulled off a Flash Cancel.
Activated Rush Mode.
Completed a Secret Mission for the first time.
Completed 30 Secret Missions.
Completed 50 Secret Missions.
Set off an arena gimmick for the first time.
Set off all arena gimmicks.
You or an opponent were hit by an arena gimmick for the first time.
Got hit by all arena gimmicks.
Pulled off a Dramatic Finish for the first time.
Pulled off all Dramatic Finishes.
Complete 1 Challenge Battle.
Won 10 times in a row in Endless Battle.
Won Tournament for the first time.
Won Tournament on all difficulties.
Participated in an Online match.
Ranked up in Ranked Match.
Participated in 100 Online matches.