Here is the full list of all 11 Project Drift achievements.
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Defeated Myogisan and unlocked X13
Defeated Nanamagari and unlocked X15
Defeated Akagi and unlocked RS8
Defeated Harunasan and unlocked Yoyota68
Defeated Nagao pass and unlocked Supre RZ
Defeated Myogisan without any collisions
Defeated Nanamagari without any collisions
Defeated Akagi without any collisions
Defeated Harunasan without any collisions
Defeated Nagao pass without any collisions