Here is the full list of all 32 Final Vendetta achievements.
COMPLETE THE GAME WITH DUKE
BEAT THE GAME ON 'EASY'
KILL 100 ENEMIES IN ARCADE MODE
SCORE A MILLION POINTS OR MORE
DESTROY THE CAR
COMPLETE THE CLUB
COMPLETE THE DOCKS
COMPLETE THE ELEVATOR
COMPLETE AN AREA WITHOUT USING SUPER ATTACK
COMPLETE THE UNDERGROUND
ACHIEVE A 50 CHAIN
COMPLETE THE STREETS
KILL 100 ENEMIES IN SURVIVAL MODE
KILL 200 ENEMIES IN SURVIVAL MODE
COMPLETE ARCADE MODE WITHOUT PICKING UP ANY ITEMS
KILL 30 ENEMIES WITH A WEAPON
ACHIEVE AN S RANK ON THE STREETS
ACHIEVE AN S RANK ON THE UNDERGROUND
ACHIEVE AN S RANK IN THE ELEVATOR
ACHIEVE AN S RANK IN THE DOCKS
ACHIEVE AN S RANK IN THE CLUB
ACHIEVE AN S RANK IN THE MANOR
ACHIEVE AN OVERALL S RANK
FIND ALL OF THE SECRET LIVES
BEAT THE GAME ON 'HARD'
BEAT THE GAME ON 'ULTRA'
COMPLETE THE GAME WITH MILLER
COMPLETE THE GAME WITH CLAIRE
ACHIEVE A 100 CHAIN
COMPLETE BOSS RUSH MODE
COMPLETE THE GAME WITH TWO PLAYERS
DEFEAT ANY BOSS WITHOUT TAKING A HIT