TotemBall

The official description for this achievement is:

"Complete the single player game without losing a life."

Now, I happily did this several (4) times and was not rewarded for the achievement and could not for the life of me work out why. The reason is the vague description.

What you actually need to do is complete the Super Challenge Mode without losing a life!
^{I was playing the Totemball (1 Player), which you can't blame me for doing!}

Anyway, work your way through the levels; if you have completed the game before you will hopefully know where the Totem pieces are, just be careful the timer doesn't run out.

If you feel like you're going to run out of time, or you have gone for a jump across water which was just too ambitious, pause the game and return to the Totemball title screen. Go back into Super Challenge Mode and resume your game, this will start you from the beginning of the level with the timer reset.

Good luck, and don't let this game make you angry!

Here's a tip to help finish within the allocated time, which is required on top of not dying.
You have to play in 'Super Challenge' mode to unlock this and don't have to do it in one session, as progress is saved at the end of each level.

When on a moving platform, press Start to pause then resume, wait for the 'Get Ready' message and repeat, until you are on the other side. This will allow you to move whilst the time is still paused, saving precious time that would otherwise get wasted!
I actually have no clue how some levels are meant to be done without this trick (e.g. Level 5)

As for escaping death, if you ever fall in the water, pause and exit as quick as you can. Going back to the game will resume from the start of the level and won't disqualify you for the achievement.