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