Here is the full list of all 13 Don't Touch this Button! achievements worth 1,000 gamerscore.
Сomplete the game
Destroy five different minions
Complete the sixty level
Destroy one minion
Complete the forty-five level
Death by lasers
Death by falling
Complete the thirtieth level
Destroy 25 vases
Complete the fifteenth level
Death by spikes
Spend two minutes to complete one level
Complete the first level