Here is the full list of all 44 LASTFIGHT achievements.
Play with all the characters at least 1 time
Beat Tomie Sector without using a "Continue"
Unlock Sector
Complete Story mode in less than 20 minutes
Land the first blow in every first round of each match in Story mode
Complete 100 games in Versus mode
Transform into a Death Dealer 5 times in the same match
Complete five 4-player games in a row
Throw 40 fridges
Complete Story mode without transforming into a single Death Dealer
Complete 10 matches by throwing an object at your opponent
Achieve 20 perfect rounds
Block 200 blows
Win a match with a double time-out
Win a match without using a single special move or object
Don't take any anitrans and win the game
Pick your buddy up 3 times in the same game
Carry your buddy for 5 seconds in a row in the same round
Choose a random character and stage and then win the match
Shoot 50 bullets / torpedoes / missiles
Win a match with two perfect rounds
Win a round and keep hold of the trophy for the whole of the next round
Take a single anitrans and keep it until the end of the round
Knock out an opponent using only objects
Hit your opponent by throwing an object from the other side of the room
Complete Story mode (with any character)
Play in all stages at least once
Transform without doing any damage
Press "Continue" between 1 and 0 seconds
Pull off a combo with over 450 damage
Hit your opponent with an object after a six-shot rally
Achieve a play time of 5 hours (not including time in the menus)
Break an object thrown at you
Avoid using a "Continue" when playing the last level
Watch all the pins at least once
Find the right pin combination
Win the right to change the stage 10 times
Send your buddy the third anitrans
Collect all the pins in Collection mode
Win the game after being one round down and having less than 5% life in the second round
Destroy all the destructible elements in the game at least once
Use each object / weapon in the game at least once
Complete a match with each of the four transformations
Win five rallies