Here is the full list of all 32 Final Vendetta achievements.
COMPLETE THE STREETS
ACHIEVE A 50 CHAIN
COMPLETE THE UNDERGROUND
COMPLETE THE ELEVATOR
COMPLETE THE DOCKS
DESTROY THE CAR
COMPLETE THE CLUB
KILL 100 ENEMIES IN ARCADE MODE
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 'EASY'
BEAT THE GAME ON 'HARD'
BEAT THE GAME ON 'ULTRA'
COMPLETE THE GAME WITH MILLER
COMPLETE THE GAME WITH CLAIRE
COMPLETE THE GAME WITH DUKE
ACHIEVE A 100 CHAIN
COMPLETE AN AREA WITHOUT USING SUPER ATTACK
COMPLETE BOSS RUSH MODE
COMPLETE THE GAME WITH TWO PLAYERS
DEFEAT ANY BOSS WITHOUT TAKING A HIT
SCORE A MILLION POINTS OR MORE