Here is the full list of all 52 Angry Birds Space achievements.
Danger Zone: Get three stars in all levels
Finish Danger Zone
Beak Impact Part 2: Get three stars in all levels
Beak Impact Part 2: Get 1 935 360 points
Beak Impact Part 1: Get three stars in all levels
Beak Impact Part 1: Get 1 734 480 points
Cosmic Crystals: Get three stars in all levels
Defeat the boss of Cosmic Crystals
Cosmic Crystals: Get 2 810 000 points
Explode 100 crystal planets
Freeze the king pig
Make 6 pigs scared with one green bird
Pop 100 bubbles in the main menu
Pig Dipper: Get three stars in all levels
Pig Dipper: Get 2 910 000 points
Defeat the boss of Pig Dipper
Freeze 500 pigs
Launch 5 000 birds
Jump from water 100 times.
Red Planet: Get three stars in all levels
Red Planet: Get 3 450 000 points
Defeat the boss of Red Planet
Destroy 100 asteroids
Smash 5 000 stone blocks
Utopia: Get three stars in all levels
Defeat the boss of Utopia
Smash 50 000 blocks
Freeze 3 pigs with one ice bird
Pop 750 popcorns
Smash 5 000 wooden blocks
Get 250 stars
Pop pig with another pig
Pop all the bubbles in the credits
Pop 1 000 bubbles
Cold Cuts: Get three stars in all levels
Cold Cuts: Get 2 310 000 points
Defeat the boss of Cold Cuts
Smash 5 000 ice blocks
Find 5 eggsteroids
100 birds exit atmosphere
Pop 1 000 pigs
Pig Bang: Get three stars in all levels
Pig Bang: Get 1 900 000 points
Defeat the boss of Pig Bang
Shoot a bird into a lagrangian point
Find 1 eggsteroid
Get three stars
Danger Zone: Get 3 130 000 points
Smash 500 000 blocks
Utopia: Get 3 450 000 points
Brass Hogs: Get 2 780 000 points
Brass Hogs: Get three stars in all levels