Here is the full list of all 13 Kinaman vs Gray Elephant achievements.
Complete the game in "Time Attack" mode.
Go through the first level at twice the speed.
Finish the game completely.
Collect 30 coins at a time.
Collect 10 coins at a time.
Do not collect any coins on the first level.
Go through the first level without one death.
Enable cheat mode.
Find one secret star at the first level.
Complete the training.
Start the game with a friend in Splitscreen mode.
To die for the first time.
Start the game with saving.