You don't want to complete the selected levels in the achievement description. At levels 2 & 4, let the time run out, but in levels 11, 15, 17, 18, and 19, make sure that you die before the time runs out. Every other level must completed, meaning all enemies must be depleted before the time runs out.
The best tip one can offer is that practice makes perfect. You want to try and not use a bomb until the level that spawns all green comes up. It is also a good idea to have at least one bomb on hand by the time you reach the last level.
Other than that, just stay focused and don't make any stupid mistakes. This achievement isn't as hard as it seems as long as you learn the levels and use bombs only when they are needed. It may also help to practice playing in the pacifism & waves mode to improve your dodging skills.