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