Here is the full list of all 71 Heart&Slash achievements.
DEFEAT TEN WORMS
DEFEAT ONE OF EACH ENEMY CARRYING A BLADE OR A SAW
CLEAN THE REMNANTS
HAVE YOUR ENEMIES DEFEAT TWENTY OF THEIR OWN
DEFEAT TWENTY FIVE ARMOURED ENEMIES
DEFEAT ONE HUNDRED SMALLBOTS
DEFEAT FIFTY C.O.P.S. ENEMIES
DEFEAT YOUR FIRST C.O.P.S. FLASHBANG
JUMP A THOUSAND TIMES
DEFEAT FIFTY ELITE ENEMIES
EXPLORE ONE HUNDRED ROOMS
DISRESPECT THE AUTHORITY
DEFEAT FIVE TRIPODS
DEFEAT YOUR FIRST MAGNET
DEFEAT ONE HUNDRED FLYBOTS
DEFEAT FIFTY SHIELDED ENEMIES
DEFEAT TWENTY FIVE LASER ARMED ENEMIES
REACH FIFTEEN HEARTS OF MAX HEALTH
SURVIVE FOR TWENTY MINUTES
DON'T BE MEAN
SURVIVE TEN ARENAS
DEFEAT TEN LASER ARMED ENEMIES
DEFEAT TWENTY FIVE BIGGRUNTS
DEFEAT TWENTY FIVE SMALLBOTS
FINISH A LEVEL UNSCATHED
DEFEAT THE GUARDIAN
DEFEAT TWENTY FIVE FLYBOTS
SURVIVE THE DOCTOR'S CHALLENGE
DEFEAT TWENTY FIVE NIMBLEBOTS
DEFEAT YOUR FIRST TRIPOD
DEFEAT TEN NIMBLEBOTS
DEFEAT TEN BIGGRUNTS
DEFEAT YOUR FIRST SHIELDED ENEMY
UPGRADE A WEAPON AND LET THE GOOD DOCTOR KNOW
DEFEAT TEN SMALLBOTS
DEFEAT TEN FLYBOTS
SURVIVE SLASH'S CHALLENGE
USE YOUR HEAD AND SAVE SLASH
HELP SLASH EXIT THE FACTORY
COMPLETE ALL THE QUESTS IN THE FACTORY
FIND SLASH IN THE OUTSIDE WORLD
DISPLAY YOUR COMMITMENT
SIDE WITH SLASH IN THE FIGHT AGAINST QUASSY
BEAT QUASSY AND UNCOVER THE TRUTH
TOGETHER WE RISE
LONG LIVE THE QUEEN
DEFEAT ALL BOSSSES IN THE FACTORY AND THE CITY
BEAT THE UNBEATABLE
CREATURE OF THE NIGHT!
UNLOCK ALL BLADES
DEFEAT TWENTY OF EACH DOG'S PARTS
DEFEAT ONE HUNDRED BIGGRUNTS
DEFEAT FIFTY ARMOURED ENEMIES
DEFEAT TWENTY FIVE SMALLBOTS IN THE CITY
DEFEAT ONE HUNDRED NIMBLEBOTS
DEFEAT TWENTY FIVE TRIPODS
DEFEAT ONE HUNDRED SCAVENGERS
DEFEAT TWENTY FIVE ENEMIES WITH A BACKSTAB
DEFEAT FIFTY LASER ARMED ENEMIES
DEFEAT TWENTY FIVE WORMS
DEFEAT FIFTY WORMS
DEFEAT FIFTY SMALLBOTS WITH A BACKPACK
DEFEAT FIFTY SMALLBOTS WITH A FIRE BACKPACK
DEFEAT FIFTY SMALLBOTS WITH A FREEZER BACKPACK
EQUIP YOURSELF COMPLETELY
UNLOCK ALL AXES
BAT FIFTY MISSILES
SURVIVE FIFTY ARENAS
BEAT QUASSY WITH A FULLY UPGRADED RUBBER DUCK
UNLOCK ALL FIST BASED WEAPONS
BEAT QUASSY WITH THE PROTOTYPE