Here is the full list of all 28 Arashi: Castles of Sin - there are Final Cut achievements.
Complete Mission 1
Complete Mission 2
Complete Mission 3
Complete Mission 4
Complete Mission 5
Complete The Climb
Complete Final Fight
Collect Pride's Scrolls
Collect Pride's Gold
Collect Pride's Cursed Trees
Collect Sloth's Scrolls
Collect Sloth's Gold
Collect Sloth's Cursed Trees
Collect Gluttony's Scrolls
Collect Gluttony's Gold
Collect Gluttony's Cursed Trees
Collect Lust's Scrolls
Collect Lust's Gold
Collect Lust's Cursed Trees
Collect Envy's Scrolls
Collect Envy's Gold
Collect Envy's Cursed Trees
Collect all of the Scrolls
Collect all of the Gold
Collect all of the Cursed Trees
Collect all of the Gallery Statues
Collect all of the Inventory Weapons
Unlock all Achievements