Edit: the game was updated on 10/22/17 that changed and added several puzzles. I replayed the game so I could update the solution to reflect the current version of the game.
This solution will show you the input sequence needed to successfully get through each section in the game and all of the achievements that will unlock along the way (9/10). All you will need to do to complete this game after following this solution is start a new run of the game and play through several sections until you can die to a spike hazard.
My sequences are streamlined (many are optimal) and none require specific timing.
Note that this achievement description is misleading- not only can you not die, but you must successfully complete each section on the first try. A failed sequence, even if Bob doesn't die, will void the achievement. Just be careful and input the sequences exactly as I've shown in the screenshots below and you should have no issues.
Also, per Dr Tinus NL:
When you come to the parts where you have to smash blocks, it says 'A' when he does smash a block. Do NOT do this, it will void the achievement as well, since it will start over the whole section.
Important! People have reported issues with the next sequence. Make sure that the moving platforms are in the positions showed in the image below when you start the sequence:
Important! Make sure that the small platform that brings Bob over to the next section is not adjacent to Bob's starting position when you begin the sequence to climb the structure. Otherwise Bob will walk onto the platform and fail to reach the objective, voiding the achievement.