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