Here is the full list of all 51 Monster Monpiece trophies - there are 42 bronze, 5 silver, 3 gold and 1 platinum.
Ki Outo area cleared!
Ho Kaido area cleared!
Won 30 offline battles!
Triggered extreme love 20 times!
Hollowlo area cleared!
Got 100 kinds of cards!
Won 100 online battles!
Won 90 online battles!
Won 70 online battles!
Completed 20 master rings!
Won 50 online battles!
Won 30 online battles!
Your Rub P stock has exceeded 10000!
Completed 3 master rings!
Suffered your first online defeat
Won 10 online battles in a row!
Won 10 online battles!
Won 7 online battles in a row!
Won 3 online battles in a row!
Partook in your first online battle!
10 successful First Crush ♡ rubs!
Triggered extreme love!
First successful First Crush ♡ rub!
Ginuma area cleared!
Performed First Crush ♡ rub!
Won 10 offline battles!
Trained for the first time!
Kunaguva area cleared!
Performed fusion for first time!
Acquired a card for first time!
Won a card battle with 0 damage!
Won a card battle for the first time!
Attacked castle for first time!
Battled for the first time!
Started the game for the first time!
Obtained all the trophies!
Fukuruko area cleared!
Okinava area cleared!
Tokio area cleared!
Si Ku Ork area cleared!
Got 500 kinds of cards!
50 successful First Crush ♡ rubs!
100 successful First Crush ♡ rubs!
Irresistible Force
Triggered extreme love 50 times!
Won 50 offline battles!
Won 70 offline battles!
Won 100 offline battles!
Cleared the game!
Triggered extreme love 100 times!
300 successful First Crush ♡ rubs!