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