Here is the full list of all 21 YumeCore achievements.
Knock dawn TAMOKO
Open door
Game clear
OMAKE1 clear !
Knock down HATUTA
OMAKE2 clear !
OMAKE3 clear !
Knock down NADEKA
Knock down ICHIA
Knock down HUUA
Knock down MIRAI
Escape stage clear !
Arcade mode clear !
HENSHIN!
GET SUGEEEE MESICINE!
GET YABEEEE MEDICINE!
knock down HATUTA with body blow only
Knock down YODAKA with jump attack only
knock down TAMOKO with throw only
Knock dawn MAKURO with punch only
Knock dawn ICHIA,HUUA and NADEKA without special attack