Here is the full list of all 15 BalloonBreaker achievements.
Pop your first balloon! Good Job!
Pop three balloons in three seconds.
Pop 10 balloons.
Reach a combo of 100 popped balloons.
Pop a total of 1,000 balloons.
Pop 10,000 balloons in total.
Pop 10 balloons within 10 seconds.
Pop 20 balloons within the first 25 seconds.
Pop balloons continuously for 2 minutes without any pause.
Pop 500 balloons in a session.
Play for 10 minutes straight in a single session.
Play the game for a total of 20 minutes.
Play the game for a total of 45 minutes.
Play the game for a total of 59 minutes.
Play the game for a total of 1 hour.