Here is the full list of all 34 The Cute Fighter achievements.
First time winner
20k Damage to opponent and get 40 XP Ratings
100k Damage to opponent get 100 XP Ratings
500k Damage to opponent and get 400 XP Ratings
2500k Damage to opponent and get 1500XP Ratings
15 Wins and get 50 XP Rating
30 Wins and get 80 XP Rating
60 Game Winner Wins and get 120 XP Rating
100 Game Winner Wins and get 200 XP Rating
300 Wins and get 500 XP Rating
Win in arcade mode very easy diffuculty and get 20 XP Rating
Win in arcade mode easy diffuculty and get 30 XP Rating
Win in arcade mode normal diffuculty and get 40 XP Rating
Win in arcade mode hard diffuculty and get 80 XP Rating
Win in arcade mode very hard diffuculty and get 120 XP Rating
Win in arcade mode impossible diffuculty and get 150 XP Rating
50 wins for AI
50 wins for Akane
50 wins for Diana
50 wins for Emika
50 wins for Eri
50 wins for Katya
50 wins for Hoshi
50 wins for Kaoru
50 wins for Katana
50 wins for Maria
50 wins for Mia
50 wins for Naoko
50 wins for PapaDon
50 wins for Riko
50 wins for Sakura
50 wins for Soulja
50 wins for Suazie
50 wins for Zombie