Here is the full list of all 28 Kung Fury: Street Rage - there are Ultimate Edition achievements.
Defeat 50 red ninjas.
Defeat 100 nazi robots.
Defeat 100 nazis in white.
Finish A Day at the Beach with a friend. Or enemy. You do you.
Finish A Day at the Beach as Barbariana
Finish A Day at the Beach as Hasselhoff
Complete the Beach stage in A Day at the Beach.
Defeat the final boss in A Day at the Beach with glancing damage.
Complete the second City stage in A Day at the Beach.
Defeat 500 nazi grunts.
Complete the Sewers stage in A Day at the Beach.
Defeat 250 nazi officers.
Complete the Viking Age stage in A Day at the Beach.
Complete the Virtual stage in A Day at the Beach.
Defeat 50 glitched enemies in A Day at the Beach.
Complete the Dreamworld stage in A Day at the Beach.
Complete the City stage in A Day at the Beach.
Kill a hidden Nazi before it emerges in A Day at the Beach.
Beat K.F's score in Classic mode.
Beat Hackerman’s score in Classic mode.
Die right in front of the David Hasselhoff poster in Classic mode.
Move 100 meters in one direction in one Classic or Story mode game.
Miss 150 times in one Classic or Story mode game.
Reach a 200 x bonus in Classic mode.
Finish A Day at the Beach Solo.
Finish A Day at the Beach as Kung Fury
Finish A Day at the Beach as Hackerman
Finish A Day at the Beach as Triceracop