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