Here is the full list of all 12 Final Fight: Double Impact achievements worth 200 gamerscore.
Final Fight™: Complete all levels with Haggar.
Final Fight™: Complete all levels in co-op.
Final Fight™: Complete all levels with Cody.
Magic Sword: Decide to destroy the Black Orb.
Magic Sword: Fight and kill Drokmar.
Magic Sword: Complete any level without being hit, and without using a Magic Attack.
Final Fight™: Complete all levels with Guy.
Final Fight™: Complete all levels using less than 18 continues.
Unlock everything in the Vault.
Magic Sword: Complete all levels using less than 18 continues.
Magic Sword: Complete all levels.
Magic Sword: Decide to take the Black Orb.