Here is the full list of all 32 Beat Slayer achievements.
Defeat the Mole
Defeat the Snake
Defeat Mr. D
Save your brother Toni
Destroy the first wave regulator
Destroy the second wave regulator
Unlock the hammer
Unlock the saw blade
Get a special drink at Joe's Bar
Get defeated
Finish all of Botty's tutorials
Kick enemies into walls or other objects 10 times
Reach a beat streak of 50
Reach a beat streak of 100
Kill 100 enemies
Kill 1000 enemies
Finish 10 quests
Finish 100 quests
Use your ultimate attack 100 times
Use your ultimate attack 1000 times
Have +100% or more extra effect damage
Have a basic attack or ultimate crit chance of at least 50%
Have at least 200 Maximum HP
Gain 100 Shields during a single run
Apply 100 Viruses during a single run
Apply 100 Burns during a single Run
Defeat every type of enemy at least once
Gain every weapon upgrade
Activate every Upgrade from Donna
Talk to everyone in the base
Beat Dietrich 4 times
Party hard with your Crew and all Berliners