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