Base game
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Stage 1 Complete
Complete Stage 1 of Arcade Mode (any difficulty)
Rarity not known yet
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Stage 2 Complete
Complete Stage 2 of Arcade Mode (any difficulty)
Rarity not known yet
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Stage 3 Complete
Complete Stage 3 of Arcade Mode (any difficulty)
Rarity not known yet
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Stage 4 Complete
Complete Stage 4 of Arcade Mode (any difficulty)
Rarity not known yet
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Stage 5 Complete
Complete Stage 5 of Arcade Mode (any difficulty)
Rarity not known yet
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Stage 6 Complete
Complete Stage 6 of Arcade Mode (any difficulty)
Rarity not known yet
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Stage 7 Complete
Complete Stage 7 of Arcade Mode (any difficulty)
Rarity not known yet
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Perfect
Win a round without receiving any damage in Arcade Mode (any difficulty)
Rarity not known yet
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Barrier Destroyer
Destroy all of an opponent's barriers while playing Arcade Mode or Offline Versus
Rarity not known yet
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A Small Transformation
Turn small by being attacked (ie, by Amy's↓+P, etc) in Arcade Mode or Offline Versus
Rarity not known yet
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Honey the Cat
Use Honey the Cat in Arcade Mode or Offline Versus (Press START button on Amy and select)
Rarity not known yet
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The Enemy Within
Fight a mirror match in Arcade Mode or Offline Versus
Rarity not known yet
Trophy names, descriptions and rarity come from PlayStation. Guides open on their authors' own websites.