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