Here is the full list of all 38 Monster Monpiece achievements.
Acquired a card for first time!
Won a card battle for the first time!
Won a card battle with 0 damage!
Attacked castle for first time!
Battled for the first time!
Started the game for the first time!
Obtained all the achievements!
Kunaguva area cleared!
Ginuma area cleared!
Hollowlo area cleared!
Ho Kaido area cleared!
Ki Outo area cleared!
Fukuruko area cleared!
Okinava area cleared!
Tokio area cleared!
Si Ku Ork area cleared!
Got 100 kinds of cards!
Got 500 kinds of cards!
Trained for the first time!
Performed First Crush ♡ rub!
First successful First Crush ♡ rub!
10 successful First Crush ♡ rubs!
50 successful First Crush ♡ rubs!
100 successful First Crush ♡ rubs!
Irresistible Force
Triggered extreme love!
Triggered extreme love 20 times!
Triggered extreme love 50 times!
Performed fusion for first time!
Won 10 offline battles!
Won 30 offline battles!
Won 50 offline battles!
Won 70 offline battles!
Won 100 offline battles!
Cleared the game!
Your Rub P stock has exceeded 10000!
Triggered extreme love 100 times!
300 successful First Crush ♡ rubs!