Here is the full list of all 99 Wish achievements.
The base game contains 79 achievements, and there are 2 DLC packs containing 20 achievements.
Clear the H mode of Diadora
Complete the Verchino
Clear the H mode of Verchino
Complete the Remriel
Clear the H mode of Remriel
Curious gatekeeper
Satisfied Princess Knight
Complete the Popotino
Clear the H mode of Popotino
Child of God
Satisfied Archmage
Complete the Abigail
Clear the H mode of Abigail
Satisfied Royal Guard
Clear the Diadora's story
Turn up I
Beautiful!
Recovery power up!
Dispel
Epitome of beauty!
Destroy Diadora's Outfit
Crush you!
Magical power up!
Physical power up!
Readiness
Clear the Remriel's story
Energy up II
Remriel under 25 rounds.
Destroy Remriel's Outfit
Clear the Popotino's story
Energy up I
Recovery up II
Beat Popotino under 25 rounds.
Destroy Popotino's Outfit
Recovery up I
Clear the Abigail's story
Beat Abigail under 25 rounds.
Destroy Abigail's Outfit
HP up II
Clear the Verchino's story
DOMINATING!
Time to dance!
Fever up II
Fever up I
Beat Verchino under 25 rounds.
Destroy Verchino's Outfit
Tia, The Princess Knight
HP up I
Victory is mine!
Magical attack up II
Strength than intelligence
Tia's true form
Natria, The Archmage
Magical attack up I
Physical attack up II
In the name of the Lord
Natria's true form
Erica, The Royal Guard
Time to hunt!
Physical attack up I
Challenge accepted!
Are you trembling?
Wise choice!
The chivalry
RAMPAGE!
Slice you!
Maid or Knight
Erica's true form
Fever power up!
Super power up!
Master of skill!
Item collector I
Item collector II
Setup
Now is the time!
Turn up II
Mass dispel
Complete the Diadora
Beat Diadora under 25 rounds.
Complete the Airin
Clear the H mode of Airin
Destroy Airin's Outfit
Clear the Airin's story
Beat Airin under 25 rounds.
Complete the Asmodeus
Clear the H mode of Asmodeus
Destroy Asmodeus's Outfit
Clear the Asmodeus's story
Beat Asmodeus under 25 rounds.
Complete the Andromeda
Clear the H mode of Andromeda
Destroy Andromeda's Outfit
Clear the Andromeda's story
Beat Andromeda under 25 rounds
Complete the Cletina
Clear the H mode of Cletina
Destroy Cletina's Outfit
Clear the Cletina's story
Beat Cletina under 25 rounds