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