Here is the full list of all 14 Burn It Down achievements.
Beat a level in ten seconds
First Jump
Get crushed by the ceiling
Die 50 times
Die 100 times
Beat the game in under 30 minutes
Beat the game in under 20 minutes
Beat the game in under 10 minutes
Complete the game without a single death
Die within one second of starting a level
Beat the game in under the time limit
Beat the game after the time limit exires
Beat level 9 by running across the spike platform
Beat the game in one play session