Here is the full list of all 10 Beat Da Beat achievements.
Beat any boss before the music track starts to repeat
Completely upgrade any ship
Beat the game on casual difficulty while not losing your pacifier
Beat the game on normal difficulty and don't be any special
Beat the game on heavy difficulty and scream a furios roar after beating the final boss
xDestroy everything on your way on Badass difficulty and try to not smash your phone
Beat the game on normal difficulty without getting hurt once
Beat the game without using bombs
Unlock all available spaceships
Upgrade all available spaceships and be a happy owner of an unbelievable collection