Here is the full list of all 30 Gacha Fever achievements.
Reach level 80 with Akimbo in a run
Max level reached for an item
Total level reached in Gacha Fever
Total kills in Gacha Fever
Maximum wave reached in a run
You made a run! Here you are Gacha Fighter!
Reach level 80 with Abaster in a run
Reach level 80 with Ko in a run
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Reach level 80 with Happi in a run
Defeat the Blob King boss
Reach level 80 with DJ Luxxi in a run
Reach level 80 with Ev-ie in a run
Reach level 80 with Charlotte in a run
Reach level 80 with Hermine in a run
Reach level 80 with Moon in a run
Reach level 80 with Ross in a run
Reach level 80 with Abby in a run
Reach level 80 with Steaven in a run
Defeat the T-Rex robot boss!
Reach level 8 on a weapon
Complete the first Gacha Fever craft
Defeat the Pilou boss !
Defeat the boss Princess !
Defeat the boss Blob Fish !
Defeat the boss Star Fish !
Defeat the boss Whale
Reach level 70 with The Crafter in a run
Reach level 70 with Mia in a run