Credit to Anthonymm from the Win 8 solution. This should still apply.
The description can throw you off a bit. You have to get every star in every level in every world. That's 540 stars total in 180 levels. This certainly isn't the most difficult achievement but it can be time consuming depending on player skill. Practice in different levels with different challenges and this will help you out immensely.
The way the star system works in this game is based on your challenge time. All 180 levels in the game have a timer at the top of the screen that will slowly fill up (or quickly fill up on occasion). The timer basically looks like a pie graph and you must complete the level's challenge before the timer fills up to the second section to get the full 3 stars. If you complete the challenge while the timer is in section two, you will get 2 stars. If the timer fills up completely and turns red, you can only earn 1 star by completing the challenge. So for this Achievement, you're obviously better off just hitting the restart button.
Try and get some practice working on your gravitational pull momentum in the earlier levels before tackling some of the challenges in the later worlds. The difficulty ramps up pretty quick if you ask me. So get your practice in and keep trying. It'll get easier as you learn the proper timing and technique for using the jet pack.
You will also have to upgrade both your jet pack and your bat if you want to beat the later levels. This isn't cheap and you may have to do a bit of grinding eventually. I managed to upgrade both fully before three starring all levels because some levels are just that tricky.
Keep in mind that you can also take the easy way out and buy the black hole power-up for 400 coins. If you have a lot of coins, or you're open to spending real money on coins, it can make almost any challenging level a cakewalk. Please remember that all levels are possible but if you're REALLY struggling, the black hole power-up is incredibly helpful.